Question

volume of a spherical balloon v is increasing at a constant rate of 144 cubic feet per minute how fast is the radius r increasing when the radius is 6 feet

Answer 1

Explanation:

Volume of a sphere = 4/3 pi r^3 take derivative with respect to 't'

dv / dt = 4/3 pi 3 r^2 dr/ dt

144 = 4/3 pi * 3 * (6^2) dr/dt

dr/ dt = .318 ft/min