if the volume of largest cube which can be cut form a sphere of radius 3*square root of 3cm is 6p then p=

Asked by  | 2nd Feb, 2014, 01:46: PM

Expert Answer:

If the largest cube is cut from a sphere of radius 3 square root of 3 c m, the diagonal of the cube is the diameter of the sphere.
 
Diagonal of the cube equals a square root of 3 c m comma space w h e r e space a space c m space i s space t h e space s i d e space o f space t h e space c u b e
We have
a square root of 3 equals 2 cross times 3 square root of 3 rightwards double arrow a square root of 3 equals 6 square root of 3 rightwards double arrow a equals 6 space c m
Since the volume of the cube is 6p, we have
 
6 cubed equals 6 p rightwards double arrow 216 equals 6 p rightwards double arrow p equals 216 over 6 rightwards double arrow p equals 36
 
 

Answered by  | 3rd Apr, 2014, 11:04: AM

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