Which of the following expressions represents the lateral area of a right cone with r units as the radius of its base, l units as its slant height, and h units as its height?

Apirh
B2pirh
Cpir2
Dpirl

Verified Answer :

The  expressions that  represents the lateral area of a right cone with r units as the radius of its base, l units as its slant height, and hunits as its height is
 pirl 
as it finds the lateral area not the whole area of cone 
so correct option is D
hope it helps

Answer:

Option D. \(\pi rl\ units^{2}\)

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

\(LA=\pi RL\)

where

R is the radius of the base of the cone

L is the slant height of the cone

In this problem we have

\(L=l\ units\)

\(R=r\ units\)

substitute

\(LA=\pi (r)(l)=\pi rl\ units^{2}\)