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?
A. pirh
B. 2pirh
C. pir2
D. pirl

Respuesta :

 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. [tex]\pi rl\ units^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

[tex]LA=\pi RL[/tex]

where

R is the radius of the base of the cone

L is the slant height of the cone

In this problem we have

[tex]L=l\ units[/tex]

[tex]R=r\ units[/tex]

substitute

[tex]LA=\pi (r)(l)=\pi rl\ units^{2}[/tex]