# The radii of the bases of two right circular solid cones of the same height are r1 & r2. The cones are melted & recasted into a solid sphere if radius R . show that the height of each cone is given by h=4R^3÷r1^2+r2^2 ?

##### 1 Answer

See below. Quite simple really.

#### Explanation:

Volume of cone 1;

Volume of cone 2:

Volume of the sphere:

So you have:

Simplify: