The size of a cylinder changes with time. If r increases at the rate of 2 cm/min and h decreases at the rate of 7 cm/min, at what rate is the volume changing at the instant when r

The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.

Step-by-step explanation:

The statement is incomplete: The size of a cylinder changes with time. If r increases at the rate of 2 cm/min and h decreases at the rate of 7 cm/min. ¿At what rate is the volume changing at the instant when r = 1 cm and h = 7 cm?

The volume of the cylinder (), measured in cubic centimeters, is expressed by the following formula:

(1)

Where:

- Radius, measured in centimeters.

- Height, measured in centimeters.

The rate of change of the volume (), measured in cubic centimeters is obtained by deriving (1) in time:

(2)

Where:

- Rate of change of the radius, measured in centimeters per minute.

- Rate of change of the height, measured in centimeters per minute.

If we know that , , and , then the rate of change of the volume is:

The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

7.3

step-by-step explanation: