Question

Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator (not 3.14) and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (4 points)

Answer 1

ANSWER
$V=254.47in^3$

EXPLANATION

The volume of a cylinder is given by the formula:

$V=\pi \: {r}^{2} h$

The given cylinder has diameter 6. This means that, the radius is

$r = \frac{6}{2}$

$r = 3cm$

The is height is

$h = 3r$

$h = 3(3) = 9cm$

We substitute the values into the formula to obtain;

$V=\pi \: {3}^{2} \times 9$

$V=81\pi$

$V=254.46900494$

The volume is $254.47in^3$ to the nearest hundredth

Answer 2

Answer:

V  = 254.47 inches³

Step-by-step explanation:

We have given the diameter of cylinder and relation of height and radius of cylinder.

Let d ,r and h denotes the diameter,radius and height of the cylinder respectively.

d  = 6 inches and h = 3r

We have to find the volume of the cylinder.

V  = ?

The formula to find volume of cylinder is:

V  = πr²h

The formula to find radius while diameter is given:

r  = d / 2

r  = 6 / 2  = 3 inches

h  =  3r

h  = 3(3)  = 9 inches

Putting above values in formula , we have

V  = π(3)²(9)

V  = 81 π

V  = 254.47 inches³ which is the answer.