If the sphere is inscribed in a cube then the ratio of the volume of the cube to the volume of the s

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23 Nov 2016 Ratio of volume

If the sphere is inscribed in a cube then the ratio of the volume of the cube to the volume of the sphere is:

OPtion

1) pi:2
2) pi:3
3) pi:4
4) pi:6
5) 6:pi
6) 4:pi
7) 3:pi
8) 2:pi
9) 5:pi
10)None of these

Solution

Reason -
Let the edge of the cube be a
Then the diameter of the sphere is a
Volume of cube/volume of sphere = a^3/[(4pi/3) * (a/2)^3
= 6/pi i.e. 6:pi

Option 5)

Correct Option: 5 Best Solution (0)