A) \[25%\]%
B) \[25\pi %\]%
C) \[75%\]%
D) \[50%\]%
Correct Answer: C
Solution :
\[\therefore \]\[h=9\,cm,\] \[r=9\,cm\] \[\therefore \] Volume of cone \[=\frac{1}{3}\pi {{r}^{2}}h\] \[=\frac{1}{3}\pi \times 81\times 9=243\pi c{{m}^{2}}\] Volume of solid sphere whose radius is 9 cm \[=\frac{4}{3}\pi {{(9)}^{3}}\] \[=\frac{4}{3}\pi \times 9\times 9\times 9=972\pi \,c{{m}^{3}}\] Wastage \[=972\pi -243\pi \] \[=729\pi \,c{{m}^{3}}\] Percentage of wastage \[=\frac{729\pi }{972\pi }\times 100%\] \[=75%\]
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