Question

A cone is cut vertically from its topmost point the resultant face obtained is triangular shape if the triangle fromed is an equilateral triangle of side 5 cm then what is the volume of the cone??

Answer 1

if we cut the cone according to the sum,
the equivalateral traingles sides are one diameter and the two are the slant heights of the cone
and they are given 5cm so the radius is 5/2 cm
and the height of the cone is √5/2 cm
so the formula of volume of the cone is the π/3 r*3h
on substituting the values the volume is 125√5π/3