Two cylinders have equal heights, and their radii are in the ratio 1:3. If the volume of the smaller cylinder is 40 cubic centimeters, what is the volume of the larger cylinder?

Explanation

Let the radius of the smaller cylinder be r and the larger one be 3r. Since both cylinders have the same height h, the volume ratio depends on the square of the radius ratio. Volume of smaller cylinder = πr²h = 40 cc. Volume of larger cylinder = π(3r)²h = π9r²h = 9 × 40 = 360 cc.