Question

A cylinder has a height of 9 centimeters and a radius of 8 centimeters. What is its volume?

Answer 1

1809.56
`cm^3`

Explanation:

The volume of any shape can be found by multiplying the area of the cross-section by the length of the object. Since the object in this problem is a cylinder, the cross-section would be a circle with a radius of 8 cm. The area of the cross-section can be found with

`A=\pi r^2\\A=\pi(8cm)^2\\A=201.06cm^2`

To find the volume, multiply the area by the height (9cm):

`V=A*h\\V=201.06cm^2(9cm)\\V=1809.56cm^3`