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 8.5 cubic inches?
Lateral surface area = 2pi r * h
So
3.5 = 2pi r *h solve for h
h = (3.5) / (2 pi r)
Volume = pi r^2 * h
8.5 = pi * r^2 * (3.5) / (2pi r) simplify
8.5 = (3.5) / 2 * r
8.5 = 1.75 r
r = 8.5 /1.75 ≈ 4.86 in
