Question

A solid metallic sphere of diameter 28 cm is melted and recast into a number of smaller cones, each of diameter 14/3 cm and height 3 cm. Find the number of cones so formed.

Answer 1

Comment if you have any questions

Answer 2

Answer:

672

Step-by-step explanation:

Given, Diameter of sphere = 28 cm.

Then, radius = 14 cm.

Given that it is melted and recast into a number of smaller cones.

Diameter = 14/3 cm, height = 3 cm, radius = d/2 = 7/3 cm.

Number of cones = Volume of sphere/Volume of cone

                             = (4/3 πr³)/(1/3 πr²h)

                             = (4/3 * 14 * 14 * 14)/(1/3 * 7/3 * 7/3 * 3)

                             = 10976 * 9/147

                             = 98784/147

                             = 672

Hope it helps!