What is the radius, in inches, of a right circular cylinder if its lateral surface area is 3.5 square inches and its volume is 3.5 cubic inches?

Guest Jul 29, 2019

#1**+1 **

What is the radius, in inches, of a right circular cylinder if its lateral surface area is 3.5 square inches and its volume is 3.5 cubic inches?

The lateral surface area is given by 2pi *r * height

The volume is given by pi * r^2 * h

So we have that

2pi * r * h = 3.5 ⇒ h = [ 3.5] / [ 2 pi *r] (1)

pi * r^2 * h = 3.5 (2)

Sub ( 1) into (2) for h and we have that

pi * r^2 * [ 3.5] / [ 2 pi * r ] = 3.5 simplify

r * 3.5/2 = 3.5 multiply both sides by [ 2] / 3.5

r = 2 inches

CPhill Jul 29, 2019