math

The ratio of the volume of the cylinder to the volume of the hemisphere is 2:1. This is because the volume of a cylinder is equal to h*π*r^2, where h is the height, and r is the radius. The volume of a hemisphere is equal to (2/3)*π*r^3, where r is the radius. In this case, h is equal to d, which is the diameter of the hemisphere. Therefore, the ratio of the volume of the cylinder to the volume of the hemisphere is (h*π*r^2)/(2/3)*π*r^3 = (d*π*(d/2)^2)/(2/3)*π*(d/2)^3 = (d^3*π)/(2/3)*π*(d^3)/8 = 2/1, or 2:1.