A circle of radius 10 is divided into four congruent sectors. One of these sectors is used to form the curved surface of a cone. What is the volume of this cone?

Answer 1

What a nasty question!

The slant height of the cone will be 10 cm

The circumference of the base pf the cone will be (1/4)*2π*10 = 5π

The radius of the base of the cone will be 5/2

The area of the base of the cone will be 25π/4

And the height of the cone will be sqrt(93.25)

The volume will be the (1/3)* area of the base * height

You need to do the arithmetic!