By melting a solid sphere of radius 4.2 cm, a solid cylindrical red of diameter 2.8cm is formed. Find the length of the rod.
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Answered by
3
Answer:
Given:
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.
Step-by-step explanation:
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Answered by
3
Answer:
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