| The cylinder of radius 8 m and height 10 m is melted down and all the metal is used to recast a new solid cylinder with radius 12 m. What is the height of the new cylinder? [SBI (SO) 2016] |
A) 3.42 m
B) 4.44 m
C) 3.5 m
D) 4 m
E) 5 m
Correct Answer: B
Solution :
| r = 8 m, h = 10 m |
| Volume of old cylinder = Volume of new cylinder |
| \[\pi {{r}^{2}}h=\pi {{R}^{2}}H\] |
| \[\Rightarrow \] \[{{8}^{2}}\times 10={{12}^{2}}\times H\] |
| \[\Rightarrow \] \[H=4.44\,m\] |
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