Question

Given a right cone with radius r and slant height s what does the formula pi rs represent

Answer 1

Answer:

$\pi rs$ represents the lateral surface area of the cone.

Step-by-step explanation:

Lateral surface area of cone(L) is given by:

$L = \pi \cdot r \cdot l$            .....[1]

where,

r is the radius of the cone

l is the slant height of the cone.

As per the statement:

A right cone with radius r and slant height s.

⇒$l = s$

Substitute in [1] we have;

$L = \pi \cdot r \cdot s$

Therefore, $\pi rs$ represents the lateral surface area of the cone.