# The radius of a right circulare cylinder is increasing at the rate of 3 in/sec, while the height is decreasing at the rate of 8 in/sec.  At what rate is the volume of the cylinder changing when the radius is 12 in. and the height is 18 in.?

Question
1 views

The radius of a right circulare cylinder is increasing at the rate of 3 in/sec, while the height is decreasing at the rate of 8 in/sec.  At what rate is the volume of the cylinder changing when the radius is 12 in. and the height is 18 in.?

check_circle

Step 1

To determine the change of rate of the volume of cylinder.

Step 2

Given information:

The radius is increasing at rate of 3 in/sec.

The height is decreasing at the rate of 8 in/sec.

The radius of the cylinder is 12 in.

The height of the cylinder is 18 in.

Step 3

Product rule for derivati...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

### Calculus 