A) 55%
B) 65%
C) 75%
D) 60%
Correct Answer: C
Solution :
According to questions, Volume of sphere =\[\frac{4}{3}\pi {{r}^{3}}\] Cone = ABC, Circle = ABCD \[\,=\frac{4}{3}\times \frac{22}{7}\times 9\times 9\times 9\] \[=972\pi \,\,\text{c}{{\text{m}}^{\text{3}}}\] Volume of curved cone\[=\frac{1}{3}\pi {{r}^{2}}h\] \[=\frac{1}{3}\pi \times 9\times 9\times 9=243\pi =729\pi \,\,c{{m}^{3}}\] Wood wasted\[=972\pi -243\pi =729\pi \,\,c{{m}^{3}}\] \[\therefore \]Required percentage\[=\frac{729\pi }{972\pi }\times 100=75%\]You need to login to perform this action.
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