Question

The volume of a cylindrical coffee can is begin mathsize 12px style 73.5 straight pi end style cubic inches. If its height is 6 inches, what is the radius of the can?

3.5 in.


3 in.


4 in.


4.5 in.

Answer 1

3.5 in

Explanation:

Put the given numbers in the formula for the volume of a cylinder, then solve for the unknown.

V = πr²h

73.5π = πr²·6 . . . . . fill in V and h

12.25 = r² . . . . . . . . divide by the coefficient of r²

3.5 = r . . . . . . . . . . . take the square root

The radius of the can is 3.5 inches.