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

crazygbyo

Answered question

2022-08-08

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.

Answer & Explanation

Leroy Cunningham

Leroy Cunningham

Beginner2022-08-09Added 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

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school geometry

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?