A) \[85.75\text{ }c{{m}^{3}}\]
B) \[86.92\text{ }c{{m}^{3}}\]
C) \[54.25\text{ }c{{m}^{3}}\]
D) \[42.875\,c{{m}^{3}}\]
Correct Answer: D
Solution :
According to the question, \[2\pi r=7\] \[\Rightarrow \] \[2\times \frac{22}{7}\times r=7\] \[\Rightarrow \] \[r=\frac{7\times 7}{2\times 22}cm.\] \[\therefore \] Volume of cylinder \[=\pi {{r}^{2}}h\] \[=\frac{22}{7}\times \frac{7\times 7\times 7\times 7}{2\times 22\times 2\times 22}\times 11=\frac{7\times 7\times 7}{8}\] \[=42.875\,cu.\,cm.\]
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