Respuesta :

Answer:

(1/3)πr2h.

Step-by-step explanation:

Volume of a cone:

V = (1/3)πr2h

Slant height of a cone:

s = √(r2 + h2)

Lateral surface area of a cone:

L = πrs = πr√(r2 + h2)

Base surface area of a cone (a circle):

B = πr2

Total surface area of a cone:

A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))