1.)find the length of the diagonal of the largest cube that can be inscribed in a sphere of radius 35cm. 2.)a cube is inscribed in a sphere of diameter 'd' units. what is the length of the side of the largest cube so inscribed?

Asked by Yash Sahu | 20th Jan, 2014, 10:57: PM

Expert Answer:

1.
The length of the diagonal of the largest cube that can be inscribed in a sphere is the diameter of the sphere.
 
Given that the radius of the sphere is 35 cm.
 
Thus, the diameter of the sphere is 70 cm and hence the diagonal of the cube is 70 cm.
 
2.
A cube is inscribed in a sphere of diameter 'd' units.
 
Thus, the diagonal of the cube is 'd' units.
 
Let 'a' be the side of the cube.
 
Thus the diagonal of the cube is
That is,
 

Answered by Vimala Ramamurthy | 21st Jan, 2014, 10:10: AM

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