A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches?

A.

72π cu. in.

B.

864π cu. in.

C.

3,456π cu. in.

D.

6,912π cu. in.

Answers

Answer 1

Answer:

B. 864π cu. in.

Step-by-step explanation:

Given the following data;

Diameter = 24 inches

Radius, r = diameter/2 = 24/2 = 12 inches

Height, h = radius/2 = 12/2 = 6 inches

To find the volume of the cylinder in cubic inches;

First of all, we would determine the area of its circular base.

Area of circle = πr²

Area = π * 12²

Area = 144π in² (in terms of pie, π)

Next, we would find the volume of the cylinder;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.

Substituting into the formula, we have;

Volume = 144π * 6

Volume = 864π cu. in

Answer 2

Answer:

B. 864π cu. in.

Step-by-step explanation:


Related Questions

the quotient of 55 and x

Answers

Answer:

the should be one more piece of information..

Step-by-step explanation:

may be your answer is

55/x

Help now now the other 2 are Wednesday and Thursday

Answers

Wednesday
-4-9= -13
Wednesday had a temp of -13°c so its the correct answer

how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one​

Answers

Answer:

There are 342 different combinations.

Step-by-step explanation:

Ok, Aileen is choosing toppings for a pizza.

She can choose two.

There are 19 options that can be chosen once.

The first thing we need to do, is find all the "selections".

Here we have two selections:

Topping number 1

Topping number 2.

Now we need to find the number of options for each one of these selections:

Topping number 1:  Here we have 19 options.

Topping number 2:  Here we have 18 options (because one was already taken in the previous selection)

The total number of combinations is equal to the product between the numbers of options.

C = 19*18 = 342

There are 342 different combinations.

Please show me 3+2 (2x - 4) and can you please show the work?

Answers

Answer:

4x -5

Step-by-step explanation:

3+2 (2x - 4)

Distribute

3 + 2*2x - 2*4

3+4x - 8

Combine like terms

4x +3-8

4x -5

Answer:

4x - 5

Step-by-step explanation:

3+ 2 (2x) + 2 (-4)

3+4x - 8

I WILL VOTE BRAINLIEST, HELP PLS
Eliminate the x in the following system of equations. What is the result when you add the two equations?

Answers

Answer: -7y = 21

explanation:

x+y=2;3x−4y=27

Step: Solve x+y=2 for x:

x+y+−y=2+−y (Add -y to both sides)

x=−y+2

Step: Substitute −y+2 for x in 3x−4y=27:

3x−4y=27

3(−y+2)−4y=27

−7y+6=27 (Simplify both sides of the equation)

−7y+6+−6=27+−6 (Add -6 to both sides)

−7y=21 (answer)

first option

manipulate line 1 to

x = 2 - y

then substitute x in line to for the righthand side above

then solve towards y.


What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?

Answers

Answer: 340

Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.

In parallelogram LMNP if PQ=21 find QM.

Answers

Answer:

QM = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

QM = PQ = 21

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


97 muffins


100 muffins


101 muffins


120 muffins

Answers

it’s 120 mùins, 24x5 = 120
So we know that in 1 hour the baker makes 24 muffins. The question is asking in 5 hours how many could the baker make.

1 hr = 24 muffins


So basically you have to multiply 24 times 5 to get you the answer. 24 x 5 = 120


The answer is 120 muffins.

Jo invests 20 000.
in the first year her investment grows 20%
then in the second year her investemnt loses 10% of its value.

work out the investment after 2 years?

Answers

Answer:

21600

Step-by-step explanation:

20000*1.2*.9=21600

a trader sold an article at 10% profit if he had sold it at 10% loss,it would yield RS 140 less than the previous selling price.find the cost price of the article.​

Answers

Answer:

CP = ₹ 700

Step-by-step explanation:

Let the cost price be 'x'

SP = [tex](\frac{100+Profit}{100})*CP[/tex]

   [tex]= \frac{100+10}{100}*x\\\\=\frac{110}{100}*x\\\\= \frac{11}{10}x[/tex]

If it had been sold are 10% loss, then

SP = [tex](\frac{100-loss}{100})*CP[/tex]

     [tex]=\frac{100-10}{100}*x\\\\=\frac{90}{100}*x\\\\=\frac{9}{10}x[/tex]

Difference in both the selling price =  140

[tex]\frac{11}{10}x-\frac{9}{10}x=140\\\\\\\frac{2}{10}x=140\\\\\frac{1}{5}x=140\\\\ x = 140*5\\x = 700[/tex]

what is (x+2)(x-2) equal ?

Answers

(x - 4)^2 , i hope this helps

Answer:

x^2 - 4

Step-by-step explanation:

since it is in the form of

a^2 - b^2 = (a + b)(a - b)

u can directly write x^2 - 2^2

=x^2 - 4

process :

(x + 2)(x - 2)

=x(x - 2) + 2(x - 2)

=x^2 - 2x + 2x - 4

=-2x and plus 2x gets cancel

=x^2 - 4

solve for x, show work please!! 20 points.

Answers

Option B: (10)

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

The answer would be B

Which statement are true of functions? (All that applies)
A. All function have a dependent variable
B. All function have a independent variable
C. The range of a function includes its domain
D. A vertical line is an example of a functional relationship
E. A horizontal line is an example of a functional relationship
F. Each output value of a function can correspond to only one input value

Answers

A and B and E.And sorry if I get it wrong.

PLEASE HELP I’LL GIVE BRAINLIEST

What is the slope of the line shown below?
10+
(-6, 3) 5+
(12,6)
15
-10-
o A. - 1
O B. 6
O C.-6
OD

Answers

Answer:

B

Step-by-step explanation:

B

Answer:

the most likely answer is D 1/6

Step-by-step explanation:

Im not 100% sure

but hope this help if so can you mark me brainiest

thank you

Over what interval is the function in this graph constant?

Answers

Answer:

[tex]\text{A. }1\leq x \leq6[/tex]

Step-by-step explanation:

A constant intervals occurs when the function is neither increasing or decreasing. In the graph, we see this occurs from [tex]x=1[/tex] to [tex]x=6[/tex]. Therefore, the interval in which the graph is constant is [tex]\boxed{\text{A. }1\leq x \leq6}[/tex]

solve it : -

[tex] \sqrt{8 \times 5 \times 10} [/tex]
______​

Answers

Answer:

20

Step-by-step explanation:

8 * 5 = 40

40 * 10 = 400

√400 = 20

Answer:

20

Step-by-step explanation:

sqrt(8*5*10)

sqrt(400)

sqrt(20*20)

20

What is the DMS measure of an angle that is 3.7 radians?
A. 11° 37' 26"
B. 0° 3' 52.5"
c. 211° 59' 39.6"
D. 3° 42' 0"

Answers

C. Because it equals to the degrees to the 3.7 radians

What is the value of x in the equation 5x−6=−36?

Answers

Answer:

5x−6=−36

5x=-30

X=-6

5*(-6)-6=-36

-30-6=-36

-36=-36

Your Welcome

BIFFY OUT!!!

Answer:

x=(-6)

Step-by-step explanation:

So first do the inverse operation.

5x-6=(-36)=5x+(-6)=-36

Subtract the constant

-36-(-6)=-36+6=-30

5x=(-30)

x=-6

Translate the sentence into an equation,
Three times the sum of a number and 7 equals 2.
Use the variable y for the unknown number.

Answers

Answer:

3(y+7)=2

Step-by-step explanation:

Type the correct answer in the box.

Use numerals instead of words. If necessary, use / for the fraction bar.

AB is parallel to CD, and EF is perpendicular to AB.
(AB,CD,EF and AB all have straight lines over them but my keyboard can't do that)

The number of 90° angles formed by the intersections of and the two parallel lines and is ___
.

Answers

Answer:

either 0 or 8, see the step by step for rationale pending the actual question

Step-by-step explanation:

two parallel lines will never intersect.

if it is mean to find the number of 90 degree angles of the two parallel lines and the perpendicular lines, the answer would be 8.

if two lines are perpendicular think of a + sign. there are four angles to make 360 degree so each must be 90 (and the definition of perpendicular).

since there are two parallel lines that intersection happens twice. so 8

On a coordinate plane, 4 lines are shown. Line A B goes through (negative 4, 3) and (4, 3). Line C D goes through (negative 3, 0) and (3, 2). Line F G goes through (negative 3, negative 1) and (3, negative 3). Line H J goes through (negative 1, negative 4) and (1, 2).
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y-intercept at (0, 3)?

line AB
line CD
line FG
line HJ

Answers

Answer:

fg

ur welcome and im out

Step-by-step explanation:

Please show the steps. and the answer

Answers

Answer:

$321562.50

Step-by-step explanation:

Exponential growth can be modeled by the formula [tex]y = a(1+r)^{x}[/tex] , with y representing the final value, a being the starting value, r being the growth rate, and x being the number of time intervals passed.

To figure out the rate, we must use the values given from the months we have data of. Our starting value is 60,000 , ending value is 105,000 , and given that monthly sales are given, we can assume that sales grew exponentially each month. There were 4 years, or 48 months, that the store had to grow. Our formula is thus

[tex]105000 = 60000(1+r)^{48}\\[/tex]

To solve for r, we can first divide both sides by 60,000 , then put each side to the power of 1/48, resulting in

[tex]105000/60000 = (1+r)^{48}\\1.75 = (1+r)^{48}\\\\1.75^{1/48} = 1+r[/tex]

Since we know our rate, and there are 8 years/96 months between January 2005 and January 2013, we can make our starting value 105,000 , plug (1.75)^(1/48) for r and 96 for x in [tex]y = a(1+r)^{x}[/tex], and go from there.

Our final value is then

[tex]y = 105000(1.75^{1/48})^{96}\\y = 105000(1.75^{2})\\y = 321562.5[/tex]. We were able to turn 1.75^(1/48)^(96) into 1.75² using the exponent rule stating that x^y^z = x^(y*z)

The circle below has center H. suppose mIJ=84. What is mIGL

Answers

Answer:

m∠IGJ = 42°

Step-by-step explanation:

It's given in the question,

m(arc IJ) = 84°

And we have to get the measure of ∠IGJ.

By using the property of inscribed angle and the intercepted arc.

"Measure of an inscribed angle is half of the measure of intercepted arc"

m(arc IJ) = 2(m∠IGJ)

84° = 2(m∠IGJ)

m∠IGJ = 42°

Pls give an actuel answer to this question. Thx :). WIll give brainest.

Answers

Answer:

47

Step-by-step explanation:

47

4 is 3 less than 7 so fits the requirement for the first part

47 reversed = 74

47 + 74 = 121

Answer:

47

So the number in the unit digit is x since it is unknown.

the number in the tens digit is 3 less than x which can be expressed as x-3.

we have to multiply x-3 by 10 since x-3 is supposed to represent the digit in the tens place. so we have 10(x-3)+x (we are adding x because in any number we always add the tens digit by the ones, for example, 13, 10 + 3)

the reverse number would instead be x in the tens place and (x-3) in the ones place so the equation would be 10x+(x-3)

10(x-3)+x + 10x+(x-3) is equal to 121.

distribute 10(x-3), 10x-30

10x - 30 + x +`10x+x-3

Add like terms, 10x+x and -30-3

11x-33+11x

11x+11x = 22x

so we have 22x-33=121

add 33 to both sides to isolate 22x

121+33= 154

22x=154, divide both sides by 22

154/22 = 7

x=7 but this is only the ones digit.

10(x-3)+x is the equation, so replace x with 7

10(7-3)+7

7-3 = 4 and 4*10 = 40

40 + 7 = 47

original number is 47

The solutions to the equation -4|x + 9| = -8 are:
7, 11
7, -11
-7, 11
-7, -11

Answers

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

[tex]-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7[/tex]

As an estimation we are told £3 is €4.
Convert €28 to pounds.

Answers

Hope this helps

Answer:

£21

€28 = £21

Suppose that every day from Monday through Friday,
you keep the following routine:
You walk directly to school in the moming. On this walk,
you take 1500 steps.
You play at recess.
You play a sport.
You walk directly home from school.
You think you take about as many steps at recess as you
do playing your sport
Your
FitBit says that you have taken a total of 38.000 steps
during the week.
How many steps do you take every day at recess?

Answers

Answer: You take around 4,500 steps a day

Step-by-step explanation:

part A: Which expression can be used to find the value of x in the triangle shown?
part B: write the value of x to the nearest tenth.

Answers

Answer:

D and x=11.55

Step-by-step explanation:

Select all the numbers that are irrational.

Answers

9514 1404 393

Answer:

  π, √3, 3√2

Step-by-step explanation:

A number is irrational if it is not a decimal number of finite length or a repeating decimal number.

The irrational numbers in the group are shown below.

What is the value of D

Answers

Answer:

Value of what? There’s nothing

Step-by-step explanation:

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