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?
+128407 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
