SSC
Sample Paper
SSC-CGL TIER - I Sample Test Paper-1
question_answer
A right circular cylinder is circumscribed about a hemisphere so that they share the same base. The ratio of the volumes of cylinder and hemisphere is:
A) 4: 3
B) 3: 1
C) 3: 4
D) 3: 2
Correct Answer:
D
Solution :
Radius of the hemisphere = Rad. of the cylinder \[\therefore \] The cylinder circumscribes the hemisphere \[\Rightarrow \]Height of the cylinder = Rad. Of the hemisphere Volume of cylinder = \[\pi {{r}^{2}}h=\pi {{r}^{2}}\times r=\pi {{r}^{3}}\] Volume of the hemisphere = \[\frac{2}{3}\pi {{r}^{3}}\] \[\therefore \]Required Ratio = \[\frac{\pi {{r}^{3}}}{\frac{2}{3}\pi {{r}^{3}}}=\]