SOLUTION: If the radius of a sphere is increasing at the rate of 2 inches per second, how fast, in cubic inches per second, is the volume increasing when the radius is 10 inches? (A) 40&#

Question 263130: If the radius of a sphere is increasing at the rate of 2 inches per second, how fast, in cubic inches per second, is the volume increasing when the radius is 10 inches?
(A) 40π
(B) 80π
(C) 800
(D) 800π
(E) 3200π
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
We start with the volume of a sphere formula as

take a derivative to get

we are told that dR/dT = 2, and r = 10, so we get

which is

or choice D
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