Question

Seconds A cap in the shape of a right circular cone is built on top of a chimney. A diagram representing the cap is shown below. 12 in. 15 in. - 9 in. Based on the dimensions in the diagram, which of the following is closest to the lateral surface area of the cap? o 212 sq.in. o 339 sq.in. 424 sq.in. 565 sq.in.

Answer 1

Given data:

The given figure of cone.

The expression for the lateral surface area is,

$\text{LSA}=\pi rl$

Substitute the given values in the above expression.

$\begin{gathered} \text{LSA}=\pi(9\text{ in)(}15\text{ in)} \\ =424\text{ sq-inches} \end{gathered}$

Thus, the lateral surface area is 424 sq-inches, so third option is correct.