A) 30 cm
B) 60 cm
C) 50 cm
D) 40 cm
Correct Answer: B
Solution :
Volume of the cone \[=\frac{1}{3}\pi {{(15)}^{2}}\times 108\,cm\] Volume of cylinder \[=\pi \times {{r}^{2}}\times 9\,c{{m}^{3}}\] According to the question, \[=\pi \times {{r}^{2}}\times 9\] \[=\frac{1}{3}\pi \times 15\times 15\times 108\] \[\Rightarrow \] \[{{r}^{2}}=\frac{5\times 15\times 108}{9}\] \[\Rightarrow \] \[{{r}^{2}}=900\] \[\Rightarrow \] \[r=30\] Diameter of base \[=2r=2\times 30=60\,cm\]
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