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 5 cubic inches?
Lateral suface area = 2 * pi * r * h
3.5 = 2*pi * r * h → solve for h
(3.5) / ( 2 * pi * r) = h
Volume = pi * r^2 * h
5 = pi * r^2 * ( 3.5) / ( 2 *pi * r)
5 = 1.75 r
5 /1.75 = r = 20 / 7 in