A) 2 cm
B) 4 cm
C) 3 cm
D) \[\sqrt{3}\]cm
Correct Answer: B
Solution :
Volume of cylinder \[=\pi {{r}^{2}}h=\pi \times \,\,{{(8)}^{2}}\times 2\] \[=128\pi \,\,\text{c}{{\text{m}}^{3}}\] Let the radius of each sphere her cm. \[\therefore \]\[12\times \frac{4}{3}\pi {{r}^{3}}=128\pi \]\[\Rightarrow \]\[16\pi {{r}^{3}}=128\pi \] \[\Rightarrow \] \[{{r}^{3}}=\frac{128\pi }{16\pi }\]\[\Rightarrow \]\[r=\sqrt[3]{8}=2\,\,\text{cm}\] \[\therefore \] Diameter \[=2\times 2=4\,\,\text{cm}\]
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