A) \[\text{5724 c}{{\text{m}}^{\text{2}}}\]
B) \[~\text{7524 c}{{\text{m}}^{\text{2}}}\]
C) \[\text{5742 c}{{\text{m}}^{\text{2}}}\]
D) \[\text{7254 c}{{\text{m}}^{\text{2}}}\]
Correct Answer: B
Solution :
\[\text{V}=\text{49}.\text{896}\times \text{1}0000\text{ c}{{\text{m}}^{\text{3}}}\] \[\therefore \]\[\pi {{r}^{2}}h=\text{49896 c}{{\text{m}}^{\text{3}}}\] C.S.A. \[=\frac{9504}{2}c{{m}^{2}}\] \[\therefore \]\[2\pi rh=4752\] \[\Rightarrow \]\[\frac{\pi {{r}^{2}}h}{2\pi rh}=\frac{49896}{4752}\] \[\Rightarrow \]\[r=21\,and\,h=36\] T.S.A. \[~=2\pi r(h+r)=\text{7524 c}{{\text{m}}^{\text{2}}}\]
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