A) 2.2 km
B) 2.4 km
C) 3 km
D) 3.11 km
Correct Answer: B
Solution :
Area of the base of mountain\[=\pi {{r}^{2}}\] \[1.54=\frac{22}{7}{{r}^{2}}\] \[\Rightarrow \] \[\frac{1.54\times 7}{22}={{r}^{2}}\] \[\Rightarrow \] \[0.49={{r}^{2}}\] \[\therefore \] \[r=0.7\,\,km\] Slant height = 25 km \[\therefore \]Height of the mountain\[=\sqrt{{{(2.5)}^{2}}-{{(0.7)}^{2}}}\] \[=\sqrt{625-0.49}\] \[=\sqrt{5.76}=2.4\,\,km\]You need to login to perform this action.
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