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

Hello,

we know that: 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.
Vc= Vs;
πR²h/3= 4πr³/3;π×2.1²×8.4/3=4πr³/3;
38.808 = 4πr³/3;
3×38.808=4πr³/3;
4πr³=116.424;
r³=116.424/4π;
r³ = 9.261;
r = ∛9.261;
r = 2.1 cm

So, the radius of the sphere is 2.1 cm

bye :-)