Question

The volume of this cone is 1,441.26 cubic millimeters.The height is 17mm, what is the radius

Answer 1

Given:

The volume of the cone (V) = 1441.26 mm³

The height of the cone (h) = 17 mm

To find- the radius (r) of the cone.

Explanation-

The formula of the volume of the cone is mentoned below-

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

The value of r will be-

`1441.26=3.14*(1)/(3)* r^2*17`

On solving, we get

`\begin{gathered} r^2=(1441.26)/(3.14)*3*(1)/(17) \\ r^2=459*(3)/(17) \\ r^2=3^3*17*(3)/(17) \\ r^2=3^3*3 \\ r=3*3 \\ r=9mm \end{gathered}`

Thus, the radius of the cone is 9 mm.

The answer is 9 mm.