Quantitative Aptitude Ques 577

Question: 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]

Options:

A) 3.42 m

B) 4.44 m

C) 3.5 m

D) 4 m

E) 5 m

Show Answer

Answer:

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 $