| The diameter of the Moon is assumed to be one-fourth of the diameter of the Earth. Then, the ratio of the volume of the Earth to that of the Moon is [SSC (10+2) 2012] |
A) 64 : 1
B) 1 : 64
C) 60 : 7
D) 7 : 60
Correct Answer: A
Solution :
| Let the diameter of Earth be d. |
| Then, diameter of moon \[=\frac{1}{4}d\] |
| \[\therefore \]\[\text{Ratio}=\frac{\text{Volume}\,\,\text{of}\,\,\text{Earth}}{\text{Volume}\,\,\text{of}\,\,\text{Moon}}=\frac{\frac{4}{3}\pi {{\left( \frac{d}{2} \right)}^{3}}}{\frac{4}{3}\pi {{\left( \frac{d}{8} \right)}^{3}}}=64:1\] |
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