| A sphere is placed inside a right circular cylinder so as to touch the top, base and the lateral surface of the cylinder. If the radius of the sphere is R, then the volume of the cylinder is [SSC (CPO) 2014] |
A) \[2\pi {{R}^{3}}\]
B) \[4\pi {{R}^{3}}\]
C) \[8\pi {{R}^{3}}\]
D) \[\frac{8}{3}\pi {{R}^{2}}\]
Correct Answer: A
Solution :
| Since, the sphere is inscribed in the cylinder and the radius of sphere = R |
| \[\therefore \]Radius of cylinder = Radius of sphere = R |
| and height of cylinder\[=2\times \]radius of sphere = 2 R |
| \[\therefore \]Volume of cylinders \[=\pi {{r}^{2}}h\] |
| [\[\because \]r = radius, h = height] |
| \[=\pi {{R}^{2}}\times 2R=2\pi {{R}^{3}}\] |
You need to login to perform this action.
You will be redirected in
3 sec
