Question

The diameter of a solid sphere is 6cm it is melted and recast into a solid cylinder of height 4 cm find the radius of cylinder​

Answer 1

Step-by-step explanation:

Diameter of sphere =6cm

i.e radius of sphere = 6 ÷ 2 = 3 cm

Height of cylinder = 4 cm

Volume of sphere = Volume of cylinder

4 ÷ 3 π (3)^3 = π r^2h

4 ÷ 3 π × 27 = π r^2 × 4

4 × 63 ÷ 3 = r ^2 × 4

192 ÷ 3 = r^2 × 4

192 = r^2 × 12

r^2 = 192 ÷ 12

= 16

r = √16

r = 4cm

Therefore, radiys of cylinder is 4 cm.

Hope this helps!!!