Question

What is the volume of a sphere with a radius of 21 units?

A. 9261 pie units 3
B. 12,348 pie units 3
C. 588 pie units 3
D. 37,044 pie units 3

Answer 1

Answer: B: 12,348π units³ which is 38,772.72 units³

Explanation:

The formula of the volume of a sphere is V =
`(4)/(3)`πr³

Since we know that the radius is 21, we can fill in the given numbers:

V =
`(4)/(3)`π(21)³

Now, the new formula is V =
`(4)/(3)`π(9,261) = 38,772.72

Answer 2

B

Explanation:

The volume (V) of a sphere is calculated as

V =
`(4)/(3)`πr³ ( r is the radius ), thus

V =
`(4)/(3)`π × 21³

=
`(4)/(3)`π ×9261 =
`(4(9261))/(3)`π = 12348π units³ → B