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A sphere has a volume of 36π in3. What is the radius of the sphere? A) 3 in B) 4 in C) 6 in D) 12 in

User Oto Brglez
by
5.6k points

1 Answer

4 votes

Answer:

A) 3 in

Explanation:

The formula for the volume of a sphere is ...

V = (4/3)πr³

Put in the given information and solve for r.

36π in³ = (4/3)πr³

27 in³ = r³ = (3 in)³ . . . . . multiply the equation by 3/(4π)

r = 3 in . . . . . . . . . . . . . . . take the cube root

The radius of the sphere is 3 inches.

User Miljenko Barbir
by
5.4k points
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