When the height of a cylinder is 12 cm and the radius is 4 cm, the circumference of the cylinder is increasing at a rate of π 4 cm/min, and the height of the cylinder is increasing four times faster than the radius. how fast is the volume of the cylinder changing?

Step-by-step explanation:

We are given that

Height of cylinder=12 cm

Radius of cylinder=4 cm

Circumference of the cylinder increasing at the rate=

We know that circumference of cylinder=

Differentiate w.r t time

Volume of cylinder,V=

Differentiate w.r.t.time

Hence, the volume of the cylinder changing at the rate=

hi there!

the answer will be d: 2