Question

the lateral area of a right circular cone is 20pi cm^2 and the total area is 36pi cm^2 find the volume of the cone

Answer 1

the lateral area of a cone = pi * r * sqrt(h^2 + r^2)
area of the base = pi*r^2

and the volume = (1/3)*pi*r^2*h

Answer 2

Hint: area of base = 36pi - 20pi = 16pi

so pi r^2 (area of base) = 16pi

solve for r

then plug this value of r into the formula for the lateral area to find the measure of h

Answer 3

thanks