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?
Volumecyl = pi r^2 h Plug in the values given
8.5 = pi (r^2) h lateral surface area = pi d h = 3.5 so h = 3.5 / (pi2r) sub into the equation
8.5 = pi r^2 ( 3.5/ pi 2 r)
8.5 = 3.5 r/2
17/3.5 = r = 4.857 cm