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Feb 10, 2018

The surface area of the cone=area of the given metal lamina in the shape of a sector of radius r is given by

The slant height of the cone will be radius of the sector

If the radius of the cone be

its surface area will be

Height of the cone

#=sqrt(r^2-r_c^2)=sqrt(r^2-9/25r^2)=4/5r#

So volume of the cone

Volume of n pieces of spheres each of radius

By the condition of the problem we have

Proved

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