A cylindrical steel with a bottom diameter of 3cm and a height of 6cm is forged into a conical steel with a bottom diameter of 4cm. How high should the cone be The answer is 3.375. Help! Thank you

A cylindrical steel with a bottom diameter of 3cm and a height of 6cm is forged into a conical steel with a bottom diameter of 4cm. How high should the cone be The answer is 3.375. Help! Thank you

What is the base radius of the cylinder
3 △ 2 = 1.5 (CM)
What is the volume of a cylinder
1.5 × 1.5 × 3.14 × 6 = 42.39 (cm3)
What is the base radius of the cone
4 △ 2 = 2 (CM)
What is the base area of the cone
2 × 2 × 3.14 = 12.56 (cm2)
Cone height
42.39 × 3 △ 12.56 = 10.125 (CM)