Which of the following formulas would find the lateral area of a right cone where r is the radius and s is slant height? A. LA=1/2 \pi rs B. LA=2 pi rs C. LA=pi rs D. LA=rs

Question

Which of the following formulas would find the lateral area of a right cone where r is the radius and s is slant height?

A. LA=1/2

`\pi rs`
B. LA=2 pi rs
C. LA=pi rs
D. LA=rs

Answer 1

c

Explanation:

apeex

Answer 2

For a right circular cone, the lateral surface area is given by,

`L.S.A. =\pi r\sqrt{h^(2)+r^(2)}`

The value of square root of h²+r² is equal to slant height s.

So replacing the value of square root of (h²+r²) by s in the formula for lateral surface area , we have

L.S.A. = pi * r * s

where s is slant height of the given right cone.

Answer: The lateral surface area of a right cone is pi*r*s.

Option C is the correct answer.