Question

A cone of r 4 ang h 7 is melted to form sphere . Find sphere height

Answer 1

The Volume of cone = Volume of sphere

1/3πr²h = 4/3πr³

⇒ Volume of cone = 1/3*22/7*4*4*7 

= 352/3

= 117.33333 cu cm

Volume of sphere = 4/3πr³

⇒ 117.33333 = 4/3*22/7*r³

⇒ 117.33333*21 = 88r³

⇒ 2463.99993 = 88r³

⇒ r³ = 2463.99993/88

⇒ r³ = 27.9999

⇒ r = ∛27.9999

⇒ r = 3.0365 cm

So, radius of the sphere is 3.0365 cm