Question

What is the volume of a sphere with a radius of 6 inches?
A.112π cubic inches
B.288π cubic inches
C.290π cubic inches
D.300π cubic inches

Answer 1

The answer is (B).
If we substitute r = 6 inches into the volume of a sphere formula we get this:
$\frac{4}{3}$π6³
Since 6³ = 216, we multiply this by 1.3333 to get 288. If we multiply this by pi we get 288π, or (B).

Answer 2

The volume of a sphere with a radius of 6inches is 288π cubic inches

volume of a sphere = 4 /3 πr³

where

r = radius

Therefore,

volume of the sphere = 4 /3 πr³

r = 6 inches

volume of the sphere = 4 /3 π × 6³

volume of the sphere = 4 / 3 × π × 216

volume of the sphere = 864 / 3 π

volume of the sphere = 288π inches³

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