A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π?

Question

asked May 21, 2021 54.5k views

2 Answers

ChronoTrigger · Answer 1 · 2021-05-26T04:56:21+0000

The volume of sphere in terms of
$\pi$ is 288
$\pi$ cubic inches, if the sphere has a radius of 6 inches.

Explanation:

The given is,

A sphere has a radius of 6 inches

Step:1

Formula for volume of sphere is,

$Volume, V =(4)/(3)\pi r^(3)$ ...........................(1)

where, r - radius of sphere

From given,

r - 6 inches

Equation (1) becomes,

$= (4)/(3)\pi (6)^(3)$

=
$(4)/(3) \pi(216)$ ( ∵
6^(3) = 6×6×6 =216 )

=
$(1.3333)\pi (216)$

( The volume of the sphere in terms of π, So keep the value of
$\pi$ )

= 288
$\pi$

= 288
$\pi$ Cubic inches

Volume of sphere, V = 288
$\pi$ Cubic inches

Result:

The volume of sphere in terms of
$\pi$ is 288
$\pi$ cubic inches, if the sphere has a radius of 6 inches.