If the cylinder and the cone shown have the same volume, then the radius and height of the cone could be which of these? (2 points) Responses radius of the cone = 15; height of the cone = 12 radius of the cone = 15; height of the cone = 12 radius of the cone = 15; height of the cone = 4 radius of the cone = 15; height of the cone = 4 radius of the cone = 5; height of the cone = 12 radius of the cone = 5; height of the cone = 12 radius of the cone = 5; height of the cone = 4 radius of the cone = 5; height of the cone = 4
Volume of cylinder = πr^2h
Volume of cone = (1/3)πr^2h
Since the volumes are equal, πr^2h = (1/3)πr^2h
r^2h = (1/3)rh
3r = h
Therefore, the only correct option is:
radius of the cone = 5; height of the cone = 15