Question

There is a tent in conical shape. The slant height of the tent is $14m.$ If the curved surface area of cone is $308m^2$ then base area of tent is

• 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.

$\Rightarrow 308=\pi rl$

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

So, base area $=\pi r^2$

$=\frac{22}{7}\times 7^2$

$=154m^2$