Question

The surface area of a solid metallic sphere is 616cm 2

. If it is melted and recast into a cone of

height 28 cm. Find the diameter of the base of the cone so formed.

Answer 1

Answer:

hope you understand..

Step-by-step explanation:

Surface of a spher =4πr^2 =616 cm^2

r=7cm

Volume of metal of sphere =4/3πr^3 =1437.33

As the volume of metal is constant for both sphere and cone, we equate their volumes here to get the original diameter of cone.

4/3π×7^3=1/3π×r^2×28

⇒r=7cm

D=2×r

=2×7

=14cm

Hence diameter of the cone =14cm