find the ratio of the volumes and surface areas of a cube and the largest cylinder inscribed in it

Asked by Aayush Jadhav | 3rd Nov, 2013, 01:53: PM

Expert Answer:

Let a be the length of the edge of the cube.
Largest cylinder is inscribed in it. So, 
height of the cylinder = a
Radius of the cylinder = a/2 [Since, radius = a]
 
Thus,
volume of the cube = a3
volume of the cylinder = ? r2 h = ? a3/4
Ratio of the volumes = a3: ? a3/4 = 1/4?
 
Similarly, you can calculate the ratio of the surface areas.

Answered by  | 5th Nov, 2013, 12:10: AM

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