Question

A spherical cannon ball 28 CM in diameter is melted and recast into a right circular conical Mould, base of which is 35 cm in diameter.Find the height of the cone

Answer 1

Hey


• Given :-

Diameter of spherical ball = 28 cm

so ,

radius = 14 cm .

Volume = 4 / 3 * pie * ( 14 ) ³

Now ,

Diameter of cone = 35 cm

Radius = 35 / 2 cm .

Volume = 1 / 3 * pie * h * ( 35 / 2 ) ²

We know that ,

volume remains same in recasting one figure to another .

So. ,

1 / 3 * pie * h * ( 35 / 2 ) ² = 4 / 3 * pie * ( 14 )³


=> h * 35 * 35 / 4 = 4 * 14 * 14 * 14

=> h = 4 * 14 * 14 * 14 * 4 / 35 * 35

=> h = 16 * 2 * 2 / 5 * 5

=> h = 64 / 25
=> h = 2 . 56 cm


thanks :)

Answer 2

Height of the cone is 35. 84 cm.