Respuesta :

Given

The cone and the cylinder has same height h=3inch.

And, the volume of the cylinder is, V=948.48in^3.

To find the volume of the cone.

Explanation:

The height of the cylinder is 3inch.

And, the volume of the cylinder is V=948.48in^3.

Then,

[tex]\begin{gathered} V=\pi r^2h \\ \pi r^2h=948.48 \end{gathered}[/tex]

Since, the cone and the cylinder has same radius.

Then,

The volume of the cone is,

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ =\frac{1}{3}(948.48) \\ =316.16in^3 \end{gathered}[/tex]

Hence, the volume of the cone is 316.16in^3.