Question

3. A traffic cone has a radius of 9 inches and a height of 30 inchesWhat is the volume of this traffic cone? What is its lateral and total surface area if the slant height of the traffic cone is approximately 31 inches?

Answer 1

The surface area of a cone is given by:

$\begin{gathered} SA=\pi r^2+\pi r\cdot\sqrt[]{r^2+h^2} \\ where\colon \\ r=9in \\ h=30in \\ SA=\pi\cdot(9)^2+\pi\cdot(9)\cdot\sqrt[]{9^2+30^2} \\ SA=1140.047141in^2 \end{gathered}$