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:

$V=\frac{1}{3}\pi r^2\times h$

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

$\begin{gathered} V=\frac{1}{3}\pi\times(3ft)^2\times10ft \\ =\frac{1}{3}\pi\times90ft^3 \\ =\pi\times30ft^3 \\ =94.24777961\ldots ft^3 \end{gathered}$

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