Question

A cylinder has a height of 7 in. and a
diameter of 6 in. What is the volume
of the cylinder to the nearest cubic inch?

F V = 66 in.3
G V = 132 in.3
H V = 198 in.3
J V = 792 in.3

Answer 1

`\blue{Volume = 198 \: in ^(3) }`

Explanation:

The formula to find the volume of a cylinder is :

`\pink{volume \: = \: \pi \: r ^(2) h}`

Here,

r = radius

h = height

They have already given the diameter of the cylinder as 6 in.

First, we have to solve for radius of the cylinder.

r = d / 2

r = 6 / 2

r = 3 in

And now let us solve for volume of the cylinder.

`{volume \: = \: \pi \: r ^(2) h} \\ {volume \: = \: \pi * \: 3^(2) * 7} \\ {volume \: = \: \pi * 9 * 7} \\ {volume \: = \: \pi * 63} \\volume = 197.92 \: {in}^(3)`

If we solve the answer for nearest cube :

`\blue{Volume = 198 \: in ^(3) }`