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