The volume is 282.6 cubic centimeter rectangular iron block is melted and cast into a cylindrical machine part with a bottom radius of 6cm. What is the height of the conical part?

The volume is 282.6 cubic centimeter rectangular iron block is melted and cast into a cylindrical machine part with a bottom radius of 6cm. What is the height of the conical part?

For experts:
The volume of a cuboid = the volume of a cone
The bottom area of the cone is:
6 & sup2; × 3.14 = 113.04 (cm2)
The height of conical parts is:
282.6÷(1/3)÷113.04
=847.8÷113.04
=7.5 (CM)
A: the height of the conical part is 7.5cm