Question

A conical tent made of canvas has a base that is 34 feet across and a slant height of 12 feet to the nearest whole unit what is the area of the canvas

A.) 1548

B.) 2189

C.) 1228

D.) 4911

Answer 1

check the picture below.

$\bf \textit{total surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2~~ \begin{cases} r=radius\\ h=height\\ -------\\ r=17\\ \sqrt{r^2+h^2}=12 \end{cases} \\\\\\ SA=\pi (17)(12)+\pi (17)^2\implies SA=204\pi +289\pi \implies SA=493\pi$