A) 4 : 3
B) 5 : 6
C) 2 : 5
D) 5 : 7
Correct Answer: A
Solution :
(a): Let height be \[9x\] and \[16x\] Radii be \[{{y}_{1}}\]and \[{{y}_{2}}\] Since vol. is same, \[\pi {{y}_{1}}^{2}.9x=\pi {{y}_{2}}^{2}.16x\] \[\Rightarrow {{\left( \frac{{{y}_{1}}}{{{y}_{2}}} \right)}^{2}}=\frac{16}{9}\Rightarrow \frac{{{y}_{1}}}{{{y}_{2}}}=4/3=4:3\].
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