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 …

Question

asked Oct 12, 2021 46.3k views

1 Answer

Tiwan · Answer 1 · 2021-10-16T11:00:29+0000

Answer:

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.