A) 7 : 6
B) 6 : 7
C) 3 : 7
D) 7 : 3
Correct Answer: D
Solution :
Let the radius of base of cylindrical pillar be r and height be h cm. Then, \[2\pi rh=264\] ...(i) and \[\pi {{r}^{2}}h=924\] ...(ii) On dividing Eq. (ii) by Eq. (i), we get \[\frac{\pi {{r}^{2}}h}{2\pi rh}=\frac{924}{264}\] \[\Rightarrow \] \[r=\frac{2\times 924}{264}=7\] From Eq. (i), \[2\pi \times 7\times h=264\] \[\Rightarrow \] \[h=\frac{264\times 7}{2\times 22\times 7}=6\] \[\therefore \] Required ratio \[=2\times 7:6=7:3\]You need to login to perform this action.
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