The radius r of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of th volume when r = 24 inches.

crazygbyo 2022-08-08 Answered
The radius r of a sphere is increasing at a rate of 2 inches per minute. Find the rate of change of th volume when r = 24 inches.
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Answers (1)

Leroy Cunningham
Answered 2022-08-09 Author has 14 answers
We are given: d r d t = 2 i n / m i n
Since we know the area of a circle is : A = δ r 2
Differentiate with respect to time:
d A d t = 2 δ r ( d r / d t )
When r = 24, we have d A d t = 2 δ ( 24 ) ( 2 ) = 96 δ i n 2 / m i n
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