10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?
Answers
Step-by-step explanation:
all you needed to do was a quick search on the internet : "volume of a cone".
and you get immediately :
pi×r²×h/3
the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).
r = radius
h = height
so, for a) we only need to use the calculator :
pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³
for b) we need to do the same thing, but with r = 10 and h = 60.
pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³
so, for c) we only need to subtract the result of a) from the result of b)
the frustum is the volume of the large cone minus the volume of small, top cone.
6283 - 785 = 5498 m³
Related Questions
What is the product of ¼, -½ and -¾?
a
0.0934
b
-0.6543
c
-0.09357
d
0.09375
Answers
find the slope of the line that is perpendicular to the line graphed in the figure
Answers
Answer:
- [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-(-4)}{1-0}[/tex] = [tex]\frac{1+4}{1}[/tex] = 5
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{5}[/tex]
PLEASE HELP ME THIS IS DUE TODAY :( YOU WILL GET 20 POINTS
The picture is below :(
Question: If a point C is inside AVB then m AVC +_______= m AVB
Answers
m∠AVC+m∠CVB=m∠AVB. Option b is correct.
Given a figure in which point C is inside ∠AVB and ∠AVB=62°.
A geometric figure formed by two lines starting from a common point or two planes starting from a common line is called an angle. The space between these lines or planes is measured in degrees.
Knowing that a point C is between ∠AVB and ∠AVC=39° and ∠CVB=23°, then
From the figure, we can see that C is inside ∠AVB, so ∠AVB is divided into two parts, namely ∠AVC and ∠CVB
m∠AVC+m∠CVB=m∠AVB
Now substitute the values we get
39°+23°=62°
62°=62°
So both sides are equal and it's proven.
Hence, a point C is between ∠AVB and ∠AVB=62° then m∠AVC+m∠CVB=m∠AVB.
Learn more about the angle from here brainly.com/question/11789164
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A wedding planner uses 72 ivy stems for 18 centerpieces. When sh arrives at the venue , she realizes she will only need 16 centerpieces. How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same ?
Answers
Answer:
64 ivy stems
Step-by-step explanation:
72 ivy stems / 18 centerpieces = 4 ivy stems / 1 centerpiece
Create an equation with x being the amount of ivy stems needed.
x / 16 = 4
x = 64
What is the quotient of 5/6 and 3/8?
Answers
Answer:
2 2/9
Step-by-step explanation:
5/6 ➗3/8
We can use the reciprocal.
So, 5/6 * 8/3 = 40/18.
40/18 can be simplified to 20/9 or 2 2/9
Sophie bought snacks for her team's practice. She bought a bag of chips for $2.49 and
a 12-pack of juice bottles. The total cost before tax was $27.57. Write and solve an
equation which can be used to determine x, how much each bottle of juice costs?
Answers
Call a bottle of juice costs is x
$2.49 + 12x = $27.57
12x = $27.57 - $2.49
12x = $25.08
x = $25.08 / 12
x = $2.09
SO each bottle of juice costs $2.09.
Mark as Brainliest If the answer is helpful!
There are 37 carpenters in a crew. On a certain day, 27 were present. What percent showed up for work?
Answers
Answer:
73%
Step-by-step explanation:
/ means divide
you divide the total by those who showed up
27/37 = .7297 = around .73 = 73%
Please help basic Geomerty question!
Answers
Answer:
Point B :(6, 7)
Step-by-step explanation:
Point B:(x, y)
1= - 4+x/2
2= - 4+x
x=6
7.5= 8+y/2
15= 8+y
y=7
help!!!!!!!!!!!!!!!!!!
Answers
Answer:
a = 8, B = - 2, c= - 21
Step-by-step explanation:
Just expand the brackets carefully
Mr Guru bought a second hand bike for rupees 125200 he Spent rupees 5302 repair it at what price should he sell it to gain 5% on his total investment
Answers
Answer:
137027.1 Rupees
Step-by-step explanation:
(125200+5302) * 0.05 = 6525.1
130502+6525.1 = 137027.1
Gabbar watched 650 movies in the last 5 years. Every year he watched 10 movies less than the previous year. How many movies did he watch in the 1st year?
Answers
Answer:
he watched 2movie in 1st year
Sum = n/2[2a + (n - 1)d]
5/2(2a + 4 x -10) = 650
2a - 40 = 650 x 2/5 = 260
2a = 260 + 40 = 300
a = 150
He watched 150 movies in the first year.
The series is 150 + 140 + 130 + 120 + 110 = 650
I’m confused about these questions. Compositions and inverses ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
Answers
9514 1404 393
Answer:
1. (f+g)(x) = 2x^2 +4x +2
2. (f -g)(x) = -2x^2 +4x -4
5. (f+g)(x) = x^2 +2x -1
6. (g -f)(x) = x^2 -2x -1
Step-by-step explanation:
None of these are compositions. They are only sums or differences.
(f±g)(x) = f(x) ± g(x)
__
1. (f+g)(x) = f(x) +g(x) = (4x -1) +(2x^2 +3)
(f+g)(x) = 2x^2 +4x +2
__
2. (f -g)(x) = f(x) -g(x) = (4x -1) -(2x^2 +3)
(f -g)(x) = -2x^2 +4x -4
__
5. (f +g)(x) = f(x) +g(x) = (2x) +(x^2 -1)
(f+g)(x) = x^2 +2x -1
__
6. (g -f)(x) = g(x) -f(x) = (x^2 -1) -(2x)
(g -f)(x) = x^2 -2x -1
find the last two digits of 2^2016
Answers
please please help me if for my homework
Answers
Answer:
89/100. Hope this helped.
Step-by-step explanation:
89/100
Step-by-step explanation:
.89
Multiply the decimal by 100
89
Convert the decimal to a fraction
89/100
if 0 subtracted from a number the difference is the
Answers
If 0 is subtracted from any number, then the result is the Number itself.
Example :-
25 - 0 = 2510 - 0 = 101 - 0 = 115 - 0 = 15
When multiplying two negative numbers, what kind of number does one always get for an answer?
Answers
Answer:
a positive number
Step-by-step explanation:
-(-) = +
for example, -1 * -1 = 1
Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help
Answers
Answer:
Yes, this is a function.
Step-by-step explanation:
Every input has its own unique output (no x number goes to more than one y number).
No. of acute angles in the given figure:_____
Answers
Answer:
looks like there's 5
Step-by-step explanation:
acute angles are under 90°
obtuse are over 90°
right angles are 90°
plz help me find the slope
Answers
Answer:
4/5
Step-by-step explanation:
Find 2 defined points like (-2,0)(3,4) in other to reach the point (3,4) from (-2,0) it moves 5 times front and 4 times up
Up is Y value
Front is X value
To solve it is adding the value that you get from moving it in this case
5 front X equals to 5
4 up Y equals to 4
Then is 4/5
because the formula is Y/X
Brianna has saved $600 to buy a new tv If the tv cos $1800 and she saves $20 a week
Answers
60 days or 8.5 weeks
Step-by-step explanation:
1800-600=1200
1200/20=60
60/7=8.5
1.
11. Kimberly received -22 points on her exam.
She got 11 questions wrong out of 50 questions.
How much was Kimberly penalized for each wrong
answer?
Answers
Answer:
Step-by-step explanation:
50 por que si no lO seeee agradezcan que respondo
B is between A and C, BC=38, and AC=42. Find AB
help please!
Answers
Answer:
AB = 4
Step-by-step explanation:
AB + BC = AC
Substitute the line segments for their given values:
AB + 38 = 42
Subtract both sides by 38:
AB = 42 - 38
AB = 4
Check your work:
4 + 38 = 42
42 = 42
Correct!
24 - 8X = -16
Help pls
Answers
Answer:
5
Step-by-step explanation:
24-8X=-16
24+16=8X
40=8X
X=5
Answer:
x=5
Step-by-step explanation:
24 - 8x = -16
=> 24 + 16 = 8x
=> 8x = 24 + 16
=> 8x = 40
=> x = 40/8
=> x = 5
x3+y3+z3=k, what replaces k?
Answers
Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42? … I hope it helps you
Can someone pls help me I need help
Answers
Step-by-step explanation:
see it in the picture. i can't make it display in text form.
how to solve this things
Answers
Answer:
8/5
Step-by-step explanation:
...................
smg membantu, mff kl slh
what is the probability i will roll a 4 or multiple of 3 on a standard # cube
Answers
Answer:
probability is 1/2
Step-by-step explanation:
multiples of 3 that will occur in standard dice = 3,6
hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:
3/6 = 1/2
You work at McDonalds making $12 per hour, this week you are scheduled to work
4:30pm - 10pm Wednesday - Saturday. How much will your gross pay be for the WEEK?
(you are on the clock the entire shift)
Answers
Answer:
7$
Step-by-step explanation:
Solve. Give exact answers if possible, otherwise round to two decimal places. [6 marks]
A) 64^ x+4= (1/6)^x B) 5^x+1 - 5^x+2= -2500 C) 5^ x-1 + 10= 53
Answers
Step-by-step explanation:
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0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to
Answers
Answer:
12/99
Step-by-step explanation:
x=0.121212
100x=12.121212
100x-x=12.1212-0.1212
99x=12
x= 12/99
Answer:
6/50 is simplified to 3/25
Step-by-step explanation:
step 1 Address input parameters & values.
Input parameters & values: The decimal number = 0.12
parameters & values: The decimal number = 0.12step 2 Write it as a fraction
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25
parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12
