A cylindrical steel with a bottom diameter of 4cm and a height of 10cm is forged into a conical steel with a bottom radius of 4cm, How high can you forge a steel cone with a radius of 4cm

A cylindrical steel with a bottom diameter of 4cm and a height of 10cm is forged into a conical steel with a bottom radius of 4cm, How high can you forge a steel cone with a radius of 4cm

Cylinder volume = 3.14 * 2 * 2 * 10 = 125.6 cm3
Cone volume = cylinder volume = 1 / 3 * 3.14 * 4 * 4 * H = 125.6
H = 125.6 * 3 / 50.24 = 7.5cm