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

Question

asked Aug 6, 2018 229k views

2 Answers

Kristiyan · Answer 1 · 2018-08-11T02:41:14+0000

Answer:

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

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.