The radius of a hemisphere and the radius of a cylinder are equal. The hemisphere and cylinder have equal volume. Calculate the ratio of the height of the cylinder and the radius of the cylinder.

Let radius of cylinder be r. Let height of cylinder be h. We know that the volumes of the hemisphere and cylinder are equal:2(pi)r³/3 = h(pi)r².Multiplying both sides by 3 and dividing both sides by pi and r² gives:2r = 3hh/r = 2/3