Question

A concical tent has slant height of 14 m, and the curved surface area is 308 $m^2$. What is its base area?

• A. 154

Answer 1

The correct option is A 154

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

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

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