Question

There is a tent in a conical shape. The slant height of the tent is 14 m. If the curved surface area of the tent is 308 m² , then what is the base area of the tent? (Take $\pi =\frac{22}{7}$)

• A. 132
• B. 224
• C. 254
• D. 154

Answer 1

The correct option is D

154

The curved surface area of a cone is $\pi rl$ where $r$ is radius and $l$ is slant height of the conical tent.

Given, curved surface area of the conical tent $=308m^2$ and slant height, $l=14m$

$\therefore \pi rl=308$

$\Rightarrow \frac{22}{7}\times r\times 14=308$

$\Rightarrow r=\frac{308\times 7}{22\times 14}=7m$

$\therefore$ Base area $=\pi r^2$
$=\frac{22}{7}\times 7^2$
$=154m^2$