Question

Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wants to know how much trash can fit into the trash can. He measures the outside of the trash can and finds it has a height of 24.90 inches and a diameter of 15.50 inches. What is the volume of the trash can? Round to the nearest tenth of a cubic inch.

Answer 1

`4696.0 in.^3`

Explanation:

The trash can has a cylinder shape, so we have to calculate the volume of a cylinder.

The volume of a cylinder is given by the formula

`V=\pi r^2 h`

where

V is the volume

r is the radius of the base

h is the height of the cylinder

In this problem, we have:

h = 24.90 in. is the height of the can

d = 15.50 in. is the diameter of the can, so the radius is half of this value:

`r=(d)/(2)=(15.50)/(2)=7.75 in.`

Therefore, the volume of the trash can is:

`V=\pi (7.75)^2 (24.90)=4696.0 in.^3`