The volume of aright circular cone is 12 litres calculate the volume of the two parts into which the cone is divided by a plane parallel to the base a quarter of the way down from the vertex to the base

Answers

Answer 1

Answer:

the New Cone Volume is 0.1875 litres & the Volume of frustum is 11.8125 litres.

Step-by-step explanation:

According To Question,

We have Given A Right Circular Cone, Volume = 12 Litres .

Now, Let The Radius Of the base be r & the height be h .

Volume of Cone = 1/3×π×r²×h

thus, 1/3×π×r²×h=12

π×r²×h=36 → Equation. 1

Now, The new Cone is cut from the Plane Parallel to a base a quarter the way down from the vertex of the base. then the cone is cut at 1/4 from the base . So the Height of new Cone is h/r and the radius is r/4 .

Then, Volume Of new Cone=1/3×π×(r²/16)×(h/4)  ⇔ (Put Value From Equ. 1)

V= 12/64  ⇔ 0.1875 litres of new cone volume .

Then, the volume of Frustum = 12-0.1875 = 11.8125 litres


Related Questions

solve the system of equations y=2x-3 and y=x^2-3

Answers

I have attached some answers in the photos below hope you find them useful

Answer:

0 and 1

Step-by-step explanation:

Given :

[tex]y= 2x-3\\y=2x^{2} -3[/tex]

Now equate the both equation :

[tex]2x-3=2x^{2} -3[/tex]

2x=2[tex]x^{2}[/tex]

x-[tex]x^{2}[/tex]=0

x(1-x)=0

x=0

1-x=0

x=1

Therefore, x=0,1

Find the missing interior angle in a triangle when one angle is 48 degrees, a second angle is Y+2 degrees, and the exterior angle is 2Y - 3 degrees?

Answers

Answer:

61°

Step-by-step explanation:

Angles in a straight line add up to 180°.

Also angles in a triangle add up to 180°.

See the image above.

Is the graph increasing, decreasing, or constant? I need help with it!!

Answers

Answer:Decreasing

Step-by-step explanation:

The line is going down.

The given graph is decreasing. The correct option is A.

Increasing graph: A graph is considered increasing if it moves upwards as you move from left to right along the x-axis. In other words, the y-values increase as the x-values increase. This is often represented by a positive slope, where the line or curve ascends as it extends to the right.

Decreasing graph: A graph is considered decreasing if it moves downwards as you move from left to right along the x-axis. In this case, the y-values decrease as the x-values increase. It is represented by a negative slope, where the line or curve descends as it extends to the right.

Constant graph: A graph is considered constant if it remains flat and does not rise or fall as you move along the x-axis. The y-values do not change with increasing x-values, and this is represented by a horizontal line.

In given figure the line goes to downwards and the vales of y is decreasing  for the increasing values of x.

Hence, the given graph is decreasing. The correct option is A.

Learn more about Graph here:

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human right violation​

Answers

Answer:

A human rights violation is the disallowance of the freedom of thought and movement to which all humans legally have a right.

Step-by-step explanation:



I’m really confused, can I get some help

True or False: The following lengths make a right triangle?
a = 6
b = 8
C = 9
6
8
9
O True
O False

Answers

Answer:

False is the correct answer

6²=36

8²=64 add them 100≠9²

A farmhouse shelters 10 animals. Some are pigs and some are chickens. Altogether there are 30 legs. How many of each animal are there? PLSS HELP!!

Answers

Answer:

theres 5 pigs and 5 chickens

Step-by-step explanation:

5 pigs 4 legs 5x4=20

5 chickens and 2 legs 5x2=10

20+10=30

PLEASE HELP HURRY ASAP

The spinner depicted is a fair spinner. The spinner is least likely to land on which number?



A. 1


B. 2


C. 3


D. it is impossible to tell

Answers

A because it’s the smallest area between the numbers where as you can tell 2 is the biggest so more likely to land on that than any other so 1 is the smallest therefore it is less likely to land in 1 than any other number

There are a total of 40 red, yellow or blue balls in a box. Each ball is marked with a number out of 1, 2, 3 and 4 on the side. The figure in the shaded area below each shows the number of balls in that category. For example, the number of red balls marked with the number "1" is 12. What is the minimum number of balls to be taken out of the box to ensure that you have at least one ball of each color and each marked number?

Answers

Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of distinct numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

Please help I’ll give brainliest

Answers

Answer:

6 ^ 6

Step-by-step explanation:

hope this helps!

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: C. \:{6}^{5} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {6}^{2} \times {6}^{3} [/tex]

➺[tex] \: {6}^{2 + 3} [/tex]

➺[tex] \: {6}^{5} [/tex]

Note:-

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]

Determine the mean, median, and mode of the data set.
37, 12, 32, 23, 12, 40, 11, 12, 10, 23, 27
a.
C.
mean=22
median=40
mode=23
mean=21.7
median=23
mode=12
b. mean=20
d. mean=22
median=20
median=12
mode=12
mode=23

Answers

Answer:

mean=21.7

median=23

mode=12

Step-by-step explanation:

Mean=37+12+32+23+12+40+11+12+10+23+27/11

=21.7(3 s.f)

Median: 10,11,12,12,12,23,23,27,32,37,40

Median=23

Mode=12

PLEASE HELP 25 POINTS. If you apply the changes below to the quadratic parent function, fx) = x2,
what is the equation of the new function?
.
Shift 1 unit left.
.
Vertically stretch by a factor of 3.
• Reflect over the x-axis.

Answers

Answer:

[tex]f(x) = 3 (x+1)^{2}[/tex]

Step-by-step explanation:

determine the equation of the circle graphed below .

Answers

Answer:

(x+1)^2 + (y-7)^2 = 2^2

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

I need help please! ASAP!

Answers

Answer:

Step-by-step explanation:

the answer is 10 you’re welcome

What's the area of the shaded region?

Answers

Answer:

99cm²

Step-by-step explanation:

Area of shaded region=(area of outer rectangle)-(area of inner triangle)

Area of shaded region=(L×W)-(bh/2)

=(12×10)-((6×7)/2)

=120-(42/2)

=120-21

=99cm²

The area of the shaded region is 99cm2

can someone pls pls help me?

Answers

You anwser us 22 times in

Answer:

area is 320

Step-by-step explanation:

you do h_bb/b and the height is 20 ft and the base is 32 ft so you just plug it in

what is 18 7/8 -14 7/9

Answers

Answer:

295/72

Step-by-step explanation:

a rectangle is twice as long as it is wide and its perimeter is 432cm
a) work out the dimensions of the rectangle.
b) work out the area of the rectangle.​

Answers

Answer:-

Let

Width of rectangle=xLength of rectangle=2xPerimeter=432cm

We know that in a rectangle

Perimeter=2(Length+Breadth)

[tex]\\ \sf\longmapsto 2(x+2x)=432[/tex]

[tex]\\ \sf\longmapsto 2x+4x=432[/tex]

[tex]\\ \sf\longmapsto 6x=432[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{432}{6}[/tex]

[tex]\\ \sf\longmapsto x=72[/tex]

[tex]\\ \sf\longmapsto 2x=2(72)=144[/tex]

Length=144cmBreadth=72cm

☆Area=Length×Breadth

[tex]\\ \sf\longmapsto Area=144\times 72[/tex]

[tex]\\ \sf\longmapsto Area=10368cm^2[/tex]

Which congruence theorem can be used to prove ABDA - ABDC?
С
B
D
А
OHL
O SSA
O AAS
O SSS

Answers

Answer:

SSS

Step-by-step explanation:

Same Sides Subtract

The congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS

What is the SSS Congruence Theorem?

The SSS Congruence Theorem is a theorem that proves that if one triangle has three sides that are congruent to the three corresponding sides of a another triangle, both triangles are congruent.

Thus, ΔBDA and ΔBDC both have three pairs of congruent corresponding sides, namely:

BD ≅ BD BA ≅ BCDC ≅ DA

Therefore, the congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS

Learn more about the SSS Congruence Theorem on:

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The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. How many square meters do they have to paint? Answer only

Answers

Answer:

35m^2

Step-by-step explanation:

4×2.5=10 10×2=20

3×2.5=7.5 7.5×2=15

20+15=35

Hope this helps! :)

Can someone please help me, this is for summer school and I need fast replies, I have 29 other question like these, please help.​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:- 8 {v}^{4} + 3 {v}^{3} + v + 5}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](4 + 6v + 3 {v}^{3} ) - (5v + 8 {v}^{4} - 1)[/tex]

➼[tex] \: 4 + 6v + 3 {v}^{3} - 5v - 8 {v}^{4} + 1[/tex]

Combining like terms, we have

➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + 6v - 5v + 4 + 1[/tex]

➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + v + 5[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?

Math item stem image
CLEAR SUBMIT

97 muffins


100 muffins


101 muffins


120 muffins

Answers

Answer:

120 muffins

Step-by-step explanation:

If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.

Hope this is helpful

In the diagram below, DE is parallel to xy. What is the value of x?
115
E
*

Y
A. 115


B. 85
C. 105
D. 65

Answers

The measure of the angle x will be 65°. Then the correct option is B.

What is an angle?

Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

Let y be the corresponding angle of x and linear pair of 115°.

∠y + 115° = 180°

         ∠y = 65°

Then the angle y and angle x are corresponding angles. Then we have

∠x = ∠y

∠x = 65°

Then the correct option is B.

The complete question is given below.

More about the angled link is given below.

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Answer: 65

Step-by-step explanation:

Simplity
-1|2/3-4|
÷ 5/6

Answers

Answer:

-4

Step-by-step explanation:

Simplify. You can do this with what I've provided below.

[tex]\frac{-(\frac{2}{3}+4)}{\frac{5}{6} }[/tex]

23.45+ 435.1 =??? plz help me​

Answers

Answer:

458.55

Step-by-step explanation:

23 + 435 = 458

.45 + .1(0) = .55

458 + .55 = 458.55

.1 is .10 (Think of it as a 10)

Lin scored 18 marks in a test and Jon scored 12 marks.
Calculate Lin's mark as a percentage of Jon's mark

Answers

Answer:

=60

Step-by-step explanation:

18 + 12

=30

18/30 × 100%

=60


Does anyone know the answer to this ?!? ( links and answers that have nothing to do with the question will be reported.)

Answers

Answer:

the triangle was 2x scale (*2)

it was reflected across y=0

and translated x +2

Step-by-step explanation:

Young people ages 15-24 are accountable for ____ of the total costs of motor vehicle injuries.

10%
20%
30%
40%

Answers

Answer:

30%

Step-by-step explanation:

Which expression is equivalent to -51 - (-60)−51−(−60)

Answers

Answer:

18

Step-by-step explanation:

Always remember negative x negative = positive

-51-(-60)-51-(-60)

-51+60-51+60

9+9

18

I don't know what are the expressions but try yourself

Believe in yourself you can do it

A steamer travels 36 km upstream and 32 km downstream in 6.5 hours. The same steamer travels 4 km upstream and 40 km downstream in 180 minutes. Determine the steamer's speed in still water and the stream's speed.

Answers

Answer:

The streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

Step-by-step explanation:

Let v = streamer's speed in still water and v' = stream's speed. His speed upstream is V = v + v' and his speed downstream is V' = v - v'.

Since he travels 36 km upstream, the time taken is t = 36/V = 36/(v + v').

he travels 32 km downstream, the time taken is t' = 32/V' = 32/(v - v')

The total time is thus t + t' = 36/(v + v') + 32/(v - v')

Since the whole trip takes 6,5 hours,

36/(v + v') + 32/(v - v') = 6.5  (1)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')36/(v + v') + (v + v')(v - v')32/(v - v') = 6.5(v + v')(v - v')  (1)

(v - v')36 + (v + v')32 = 6.5(v + v')(v - v')  (1)

36v - 36v' + 32v + 32v' = 6.5(v² + v'²)

68v - 4v' = 6.5(v² + v'²)        (2)

Also he travels 4 km upstream, the time taken is t" = 4/V = 4/(v + v').

he travels 40 km downstream, the time taken is t'" = 40/V' = 40/(v - v')

The total time is thus t" + t'" = 4/(v + v') + 40/(v - v')

Since the whole trip takes 180 minutes = 3 hours,

4/(v + v') + 40/(v - v') = 3  (3)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')4/(v + v') + (v + v')(v - v')40/(v - v') = 3(v + v')(v - v')  (1)

(v - v')4 + (v + v')40 = 3(v + v')(v - v')  (1)

4v - 4v' + 40v + 40v' = 3(v² + v'²)

44v - 36v' = 3(v² + v'²)      (4)

Dividing (2) by (4), we have

(68v - 4v')/(44v - 36v') = 6.5(v² + v'²)/3(v² + v'²)      

(68v - 4v')/(44v - 36v') = 6.5/3

3(68v - 4v') = 6.5(44v - 36v')

204v - 12v' = 286v - 234v'

204v - 286v = 12v' - 234v'

-82v = -222v'

v = -222v'/82

v = 111v'/41

Substituting v into (2), we have

68v - 4v' = 6.5(v² + v'²)      

68(111v'/41) - 4v' = 6.5[(111v'/41)² + v'²]        

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²    

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²

[7548/41 - 4]v' = 6.5[12321/1681 + 1]v'²

[(7548 - 164)/41]v' = 6.5[(12321 + 1681)/1681]v'²

[7384/41]v' = 6.5[14002/1681]v'²

[7384/41]v' = [91013/1681]v'²

[91013/1681]v'² - [7384/41]v' = 0

([91013/1681]v' - [7384/41])v' = 0

⇒ v' = 0 or ([91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or [91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or v' =  7384/41 × 16841/91013

⇒ v' = 0 or v' =  180.097 × 0.185

⇒ v' = 0 or v' =  33.33 km/h

Since v' ≠ 0, v' = 33.33 km/h

Substituting v' into v = 111v'/41 = 111(33.33 km/h)/41 = 3699.63 km/h ÷ 41 = 90.23 km/h

So, the streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

Kip has a collection of 68 marbles. Each glass marble has a mass of 18.5 grams. Each steel marble has a mass of 66 grams. What is the total mass of 48 glass marbles and 20 steel marbles in kilograms? PLS HELP!

Answers

Answer:

2.208 kg

Step-by-step explanation:

Total mass of glass marble

= 18.5×48

= 888 g

Total mass of steel marble

= 66×20

= 1320 g

Total mass of 68 marble including steel 20 and glass 48

= 888 + 1320

= 2208 g

In kilograms 2208

= 2.208 kg

Please mark as brainliest answer

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Define Market failure write an algorithm to find perimeter of circle Reverse Word Order: Write a program that reverses the order of the words in a given sentence. This program requires reversing the order of the words wherein the first and last words are swapped, followed by swapping the second word with the second to last word, followed by swapping the third word and the third to last words, and so on. Your program will ask the user for an input string and print out the resultant string where the order of the words is reversed. Please see the hints section for more details on an example algorithm. Assume a maximum C-string size of 1000 characters. Make sure your code works for any input number, not just the test cases. Your code will be tested on other test cases not listed here. Do Not Use Predefined Functions from the cstring Library. Please properly comment your code before submission.For this part of the assignment, name your source file as Reverse Word Order_WSUID.cpp. For example, if your user ID is A999B999 name your file as Reverse Word Order_A999B999.cpp. Sample Test Cases: Test Case 1: Input: London bridge has been abducted Output: abducted been has bridge London Test Case 2: Input: Hello World Output: World Hello Test Case 3: Input: Hello World, how are you? Output: you? Are how World, HelloTest Case 4: Input: I like toast Output: toast like l A road with a radius of 75.0 m is banked so that a car can navigate the curve at a speed of 15.0 m/s without any friction. When a car is going 31.8 m/s on this curve, what minimum coefficient of static friction is needed if the car is to navigate the curve without slipping? Write any 4 differences between Book keeping and Accounting? ump to: SUBMISSION Value: 4 Where is the dependent clause in the following compound-complex sentence? When he was twelv, John met a girl with a smile in her eyes, and he loved her his whole life. O a. When he was twelve, O b. John met a girl O c. with a smile in her eyes, O d. and he loved her his whole life. MP of an article is $1400. Find the SP of that article in cents if the shopkeeper adds 13% VAT after allowing 45% discount. (100 cents =$1) I need help with this problem The underlined words and phrases have strong negative connotations. How do they support the authors purpose?They draw attention to the opinion that the United States is not doing enough to help these children.They show that there is a desperate need for all countries to be willing to help refugees.They show that the United States has participated in international conventions on how to handle the refugee crisis.They make it clear that the United States will lose the respect of other nations if it does not help these children. Watershed drains waters into a stream and tributaries. Which is its main function? A. Production of continuous water supply that maintains life forms B. Prevents growth of new plant species C. Contributes to soil formation D. Creates new minerals list 5 procedures done in nail preppingneed help _ Y=x^2-x what's the domaine and range There is a bag with only milk and dark chocolates. The probability of randomly choosing a dark chocolate is5/12. There are 40 dark chocolates in the bag and each is equally likely to be chosen. Work out how many milk chocolates there must be Point CC is located at (4,3)(4,3) on the coordinate plane. Point CC is reflected over the xx-axis to create point C'C . Point C'C is then reflected over the yy-axis to create point C''C . What ordered pair describes the location of C''?C ? how many sections of a job description are there Yk help me bru In the straight edge and compass construction of the angle bisector below which of the following reasons can be used to prove that angle DGB = angle EGB The sum of a number and 3: Identify the following verb by number and person as it is used in the sentence by checking the appropriate boxes.You sing.first and third personfirst personthe same for both singular and pluralthird personsecond personthe same for first and third person singular What is your favorite age range of patient to work with and why? The New Fund had average daily assets of $2.2 billion in the past year. New Fund's expense ratio was 1.1% and the management fee was .7%.a. What were the total fees paid to the fund's investment managers during the year?b. What were the other administrative expenses?