Question

A solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 cm and height 3.2 cm are made. Find the number of such cone formed.

Answer 1

Answer:

28 cones

refer to the image above

Answer 2

28 cones can be made from the sphere.

Step-by-step explanation:

Volume of sphere = (4/3)πr³ = 4/3 * π * (5.6)³ cu.cm.

Volume of each cone = πr²h/3 = π * (2.8)² * 3.2/3

Both volumes are equal for x number of cones, so we get:

  4/3 * π * (5.6)³ = x * π * (2.8)² * 3.2/3

   4 * (5.6)³ = x * (2.8)² * 3.2

   x = (4 * 5.6 * 5.6 * 5.6) / (2.8 * 2.8 * 3.2)

   x = 28

So 28 cones can be made from the sphere.