Question

There is a conical tent whose slant height is 14 \(m\). If the curved surface area of cone is 308 \(m^2\), then find its base area.

• A. $132m^2$
• B. $224m^2$
• C. $254m^2$
• D. $154m^2$

Answer 1

The correct option is D

$154m^2$

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