Question

If the height of a cone is cut in half, the volume of the cone is multiplied by what number?

Answer 1

The volume would be multiplied by 1/2 as well.

The volume of a cone is given by the formula

V=(1/3)πr²h.

Replacing h with (1/2)h, we have

V = (1/3)πr²(1/2)h

Using the commutative property, we can rewrite this as

V=(1/3)(1/2)πr²h
V=(1/6)πr²h

This is the same as multiplying the volume by 1/2.