A) \[\frac{4}{3}\]
B) \[\frac{2}{3}\]
C) \[\frac{3}{4}\]
D) \[\frac{3}{2}\]
Correct Answer: A
Solution :
Let the radius of the base of cylinder \[A\] be \[3x\] units and that of cylinder \[B\] be \[2x\] units. Similarly, height of cylinder \[A=ny\] units and that of cylinder \[B\] be \[y\] units. Volume of cylinder\[=\pi {{r}^{2}}h\] According to the question \[\pi {{(3x)}^{2}}\times ny=3\pi {{(2x)}^{2}}\times y\] \[\Rightarrow \] \[9{{x}^{2}}y.n=12{{x}^{2}}y\] \[\Rightarrow \] \[n=\frac{12}{9}=\frac{4}{3}\]You need to login to perform this action.
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