A sphere of diameter 16 cm is melted and recasted into a cylinder of height 32/3 Find the rdius of - Maths - Surface Areas and Volumes

Question

A sphere of diameter 16 cm is melted and recasted into a cylinder
of height 32/3 Find the rdius of the cylinder

Manbar Singh · Accepted Answer

We have,diameter of the sphere, d = 16 cmradius of the sphere, r = 8 cmNow, volume of sphere, V = 43πr3 = 43π83 cm3Now, let r1 be the radius of the cylinder
height of cylinder, h = 323 cmVolume of cylinder = πr12h =πr12323 cm3Now, volume of cylider = volume of sphere⇒ πr12323 = 43π83 ⇒r12 = 64⇒r1 = 8 cm

A sphere of diameter 16 cm is melted and recasted into a cylinder of height 32/3.Find the rdius of the cylinder.