Question

The section of a solid right circular cone by a plane containing vertex and perpendicular to base is
an equilateral triangle of side 10 cm. find the volume of the cone?

Answer 1

Volume of the cone = 1/3 * pi * r * r *h         -------------------------- (1)

We know that in the equilateral triangle all sides are equal.

Given, Side = 10cm

height = 100 - 25
      
           = root 75
 
            = 8.66 


Substitute in (1), we get

The volume of the cone = ⅓ * 3.14 * 8.66 * 25

                                         =  226.6 cm^3


Hope this helps!