Question

The formula for the volume of a cone is V = jarh, where V is the volume, r is the radius, and h Is the heightWhat is the volume of a cone with a radius of 4x and a height of 21xy^2??

Answer 1

Given:

The radius, r=4x

The height,

`h=21xy^2`

To find the volume of the cone:

The volume of the cone formula is,

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

Substitute the values of r and h in the above formula we get,

`\begin{gathered} V=(1)/(3)\pi*(4x)^2*21xy^2 \\ =(1)/(3)\pi*16x^2*21xy^2 \\ =\pi*16x^2*7xy^2 \\ =112\pi x^3y^2 \end{gathered}`

Hence, the volume of the cone is

`V=112\pi x^3y^2`

Thus, the correct option is option D.