Question

a right circular cone of height 8.4cm and the radius of its base is 2.1cm .it is melted and recast into a sphere.find the radius of the sphere.

Answer 1

I hope it may help you

Answer 2

Solution :-

As the right circular cone is melted and recast into a sphere, then the volume of cone will be exactly equal to the volume of sphere.

∴ Volume of cone = Volume of sphere

⇒ 1/3πr²h = 4/3πr³

⇒ 1/3*22/7*2.1*2.1*8.4 = Volume of sphere

⇒ 38.808 = 4/3*22/7*r³

⇒ 38.808 = 88/21*r³

⇒ 88r³ = 38.808*21

⇒ 88r³ = 814.968

⇒ r³ = 814.968/88

⇒ r³ = 9.261

⇒ r = ∛9.261

⇒ r = 2.1 cm

So, the radius of the sphere is 2.1 cm

Answer.