Question

I will give medal and fan:
The most economical proportion for a right circular cone is to have its height three times as long as its base diameter. What lateral area of the cone could produce a volume of 100 m ^3 ?

Answer 1

i will appreciate it more if you show me the figure first before the solution.

Answer 2

@Preetha

Answer 3

so first off it says the cone's height is 3 * diameter yielding h = 3r/2. Volume of a cone is pi*r^2*h/3 -> V = pi*r^2*(3r/2)/3 -> V = pi*r^3/2 -> 100 = pi*r^3/2 -> r = 3.99
Lateral area of a cone is pi*r*(h^2+r^2)^.5 -> pi*r*((3r/2)^2+r^2)^.5 <- solve.