Question

A metal of radius 21 cm is melted and small cones are made. Of radius and perpendicular height of each cone is 4.2 cm and 7 cm. Find the number of cones

Answer 1

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Solution:-

Diameter of the sphere = 21 cm

So, radius of sphere = 21/2

Radius of sphere = 10.5 cm

Volume of sphere = 4/3πr³

= 4/3*22/7*10.5*10.5*10.5

Volume of sphere = 4851 cu cm

Diameter of cone = 3.5 cm

So, radius of cone = 3.5/2

Radius of cone = 1.75 cm

Volume of cone = 1/3πr²h

= 1/3*22/7*1.75*1.75*3

Volume of cone = 9.625 cu cm

Number cones formed = 4851/9.625

Number of cones formed = 504 

i hope it helps you.

Answer 2

Diameter of the sphere = 21 cm

So, radius of sphere = 21/2

Radius of sphere = 10.5 cm

Volume of sphere = 4/3πr³

= 4/3*22/7*10.5*10.5*10.5

Volume of sphere = 4851 cu cm

Diameter of cone = 3.5 cm

So, radius of cone = 3.5/2

Radius of cone = 1.75 cm

Volume of cone = 1/3πr²h

= 1/3*22/7*1.75*1.75*3

Volume of cone = 9.625 cu cm

Number cones formed = 4851/9.625

Number of cones formed = 504