A) \[1:9\]
B) \[2:9\]
C) \[9:8\]
D) \[3:8\]
Correct Answer: C
Solution :
\[\frac{\text{Volume}\,\,\text{of}\,\,\text{the}\,\,\text{cylinder}}{\text{Volume}\,\,\text{of}\,\,\text{the}\,\,\text{cone}}\] \[\text{=}\frac{\pi {{(3x)}^{2}}\times 2y}{\frac{1}{3}\pi {{(4x)}^{2}}\times 3y}=\frac{18\pi {{x}^{2}}y}{16\pi {{x}^{2}}y}=9:8\]
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