Question

The formula V = 1 3 Bh, where B represents the area of the base, can be used to find the volume of a cone. Which formula is equivalent to V = 1 3 Bh when finding a cone's volume? A) V = 1 3 (l · w) B) V = 1 3 (l · w · h) C) V = 1 3 ?r2h D) V = ?r2h

Answer 1

B) V = 1 3 (l · w · h)

Answer 2

`\large\boxed{C)\ V=(1)/(3)\pi r^2h}`

Explanation:

There is a circle in the base of the cone. The formula of an area of a circle is:

`A=\pi r^2`

Therefore
`B=\pi r^2`

Substitute to
`V=(1)/(3)Bh`:

`V=(1)/(3)\pi r^2h`