A solid cylinder of radius 10 cm and height 40 cm is melted and converted into small spheres of radius 2 cm. How many such spheres can be formed?
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Answer:
Radius (r
1
) of hemisphere =4.2 cm
Radius (r
2
) of cylinder =6 cm
Height (h) = ?
The object fromed by recasting the hemisphere will be same in volume.
So, Volume of sphere = Volume of cylinder
3
4
πr
1
3
=πr
2
2
h
⟹
3
4
π×(4.2)
3
=π(6)
2
h
⟹
3
4
×
36
4.2×4.2×4.2
=h
h=(1.4)
3
=2.74 cm
Therefore, the height of cylinder so formed will be 2.74 cm.
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