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 ?

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 ?

anonymous · Answer

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

anonymous · Answer

@Preetha

rhystic · Answer

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.