Acylinder has a volume of 320 pi cu. in. and a height of 5". find the radius of the cylinder.

The radius of cylinder is 8 inches.

Step-by-step explanation:

We have given,

Volume of cylinder = 320π   cubic inches

Height of cylinder = 5 inches

We know, Formula for volume of cylinder as : V =πr²h

where r is radius of cylinder and h is the height of cylinder.

So, We can plug values for V and h to get radius of cylinder.

i.e  V = πr²h

320π = πr²* 5

Solving for r.

We get,

320 = r² * 5

320/5 = r²

64 = r²

or r = ±8 , Since radius of cylinder can not a negative number so we neglect -8.

Hence the radius of cylinder is 8 inches.