From the body of a solid cube of edge 7cm, a solid sphere is removed. The volume of the remaining solid was found to be 163.333cm3. What is the diameter (in cm) of the sphere? (Take π =22/7)
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Correct answer: B
Explanation
The correct answer is option 2 i.e. 7
Edge of cube = 7 cm
The volume of cube = edge3 = 73 = 343 cm3
Volume of sphere = Volume of cube - Volume of remaining solid = 343 - 163.333 = 179.667
Volume of sphere = 4πr3/3
179.667 = 88r3/21
3773.007/88 = r3
r3 = 42.875
r = 3.5
Diameter of sphere = 2r = 2(3.5) = 7 cm