Question

a solid metallic sphere of radius 5.6cm is melted and solid cones each of radius 2.8cm and height 3.2cm are made.find the no. of such cones formed??

Answer 1

Answer:

28 cones

Step-by-step explanation:

Find the volume of the sphere:

Volume = 4/3 πr³

Volume = 4/3 π (5.6)³ = 735.91 m³

Find the volume of a cone:

Volume = 1/3 πr²h

Volume = 1/3 π (2.8)² (3.2) = 26.28 m³

Find the number of cones form:

Number of cones = 735.91  ÷ 26.28  = 28

Answer: 28 cones

Answer 2

Given:

Sphere,

Radius = 5.6 cm

Cone,

Radius = 2.8 cm

Height = 3.2 cm

To find:

The number of cones formed.

Solved:

Volume of the sphere = 4 / 3 * π * ( Radius )^3

4 / 3 * 3.14 * ( 5.6 )^3

Volume of the sphere = 735.91 cu.m

Volume of the cone = 1 / 3 * π * ( radius )^2 height

1 / 3 * 3.14 * ( 2.8 )^2 ( 3.2 )

Volume of the cone = 26.28 cu.m

To find the number of cones,

Volume of the sphere / Volume of the cone

735.91 / 26.28  

The number of cones formed = 28