Respuesta :

Answer:

[tex]\pi rs[/tex] represents the lateral surface area of the cone.

Step-by-step explanation:

Lateral surface area of cone(L) is given by:

[tex]L = \pi \cdot r \cdot l[/tex]            .....[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.

⇒[tex]l = s[/tex]

Substitute in [1] we have;

[tex]L = \pi \cdot r \cdot s[/tex]

Therefore, [tex]\pi rs[/tex] represents the lateral surface area of the cone.

Answer:

the lateral area

Step-by-step explanation: