Question

Consider a cone with a base radius of 3 ft and height of 10 ft. Find the volume of the cone

Answer 1

The volume V of a cone with radius r and height h is given by the formula:

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

Substitute r=3ft and h=10ft to find the volume of the cone:

`\begin{gathered} V=(1)/(3)\pi*(3ft)^2*10ft \\ =(1)/(3)\pi*90ft^3 \\ =\pi*30ft^3 \\ =94.24777961\ldots ft^3 \end{gathered}`

Therefore, the volume of the cone is 30π cubic feet, which is equal to 94 cubic feet (to the nearest whole number).