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.