SOLUTION: The radius r of a sphere is increasing at a rate of 8 inches per minute. (a) Find the rate of change of the volume when r = 10 inches. (b) Find the rate of change of the

Algebra ->  Trigonometry-basics -> SOLUTION: The radius r of a sphere is increasing at a rate of 8 inches per minute. (a) Find the rate of change of the volume when r = 10 inches. (b) Find the rate of change of the       Log On


   



Question 1186788: The radius r of a sphere is increasing at a rate of 8 inches per minute.
(a) Find the rate of change of the volume when r = 10 inches.

(b) Find the rate of change of the volume when r = 38 inches.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The radius r of a sphere is increasing at a rate of 8 inches per minute.
(a) Find the rate of change of the volume when r = 10 inches.
V = 4pi*r^3/3
dV/dt = 4pi%2Ar%5E2%2A%28dr%2Fdt%29+=+4pi%2A100%2A8+=+3200picu inches/minute.
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(b) Find the rate of change of the volume when r = 38 inches.
Same problem, different numbers.