At what rate is the volume of the snowball changing when the radius is 14 cm. Round your answer to the nearest tenth.

Question

A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min. At what rate is the volume of the snowball changing when the radius is 14 cm. Round your answer to the nearest tenth.

_______ cm³/min

Hint: The volume of a sphere of radius r is V = 4/3πr³

Answer 1

V = (4/3)πr³

dV/dt = 4πr²(dr/dt) = 4π(14)²(-0.1)