Question

A cylinder has a radius of 4 inches and a height of 3 inches a sphere has a radius of 4 inches what is the difference between the volumes to the nearest tenth of an inch of the cylinder and the sphere

Answer 1

The difference is 117.3 cubic inches.

Explanation:

Radius of cylinder = 4 inches

Height of cylinder = 3 inches

Volume of a cylinder =
`\pi`
`r^(2)`h

Where r is the radius and h the height.

Volume of the given cylinder =
`(22)/(7)` x
`(4)^(2)` x 3

=
`(22)/(7)` x 16 x 3

= 150.857

Volume of the given cylinder = 150.86 cube inches

Radius of the sphere = 4 inches

Volume of sphere =
`(4)/(3)`
`\pi`
`r^(3)`

Volume of the given sphere =
`(4)/(3)` x
`(22)/(7)` x
`(4)^(3)`

=
`(88)/(21)` x 64

= 268.191

Volume of the sphere = 268.19 cube inches.

Difference between the volumes = 268.191 - 150.857

= 117.333

The difference is 117.3 cubic inches.