Two identical hemispheres of maximum possible size are cut from a solid cube of side 14 cm. The bases of the hemispheres are part of the two opposite faces of cube. What is the total volume (in cm3) of the remaining part of the cube?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1306.67
Radius of each hemisphere = 14/2 = 7 cm
Side of the cube = 14 cm
Volume of cube = 143 = 2744 cm3
Volume of both hemisphere = 2 × 2/5 × π × 73 = 1437.33 cm3
Volume of remaining part of the cube = (2744 - 1437.33) cm3 = 1306.67 cm3