Question

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

Answer 1

the lateral area

Explanation:

Answer 2

`\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.