Afilm canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation for the volume of the film canister.

Part a) The equation for the volume of the film canister is

Part b) The radius of the film canister is

Step-by-step explanation:

The complete question is

A film canister in the shape of a cylinder has a height of  8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

where

r is the radius of the circular base

h is the height of the cylinder

we have

substitute

----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

Simplify

Divide by 8π both sides

square root both sides