Question

a solid metallic sphere of radius 5.6 cm is melted and solid cones each of radius 2.8 centimetre and height 3.2 centimetre are made​

Answer 1

Answer:

=28 Cones.

Step-by-step explanation:

Sphere,

Radius = 5.6 cm

Volume of the sphere = 4/3 π r³

= ( 4 / 3 ) x  (22 / 7 ) x  ( 5.6 ) x  ( 5.6 ) x  ( 5.6 )

= ( 4 x 22 x 5.6 x 5.6 x 5.6 ) / ( 3 x 7 )

= ( 4 x 22 x 5.6 x 5.6 x 0.8 ) / 3

=2207.244 / 3

=735.91 cm^3

Cone,

Radius = 2.8 cm

Height = 3.2 cm

Volume of a cone = 1/3 πr²h

= ( 1 / 3 ) x (22 / 7 ) x ( 2.8 ) x ( 2.8 ) x ( 3.2 )

=( 1 x 22 x 2.8 x 2.8 x3.2 ) / ( 3 x 7 )

=551.936  / 21

=26.28 cm^3

Number of cones form = Volume of the sphere  /  Volume of a cone

= 735.91  ÷ 26.28

=28 Cones.