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InterviewSolution
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Directions: Read the condition given below and answer the question based on it.A sphere of diameter 7 cm is placed inside the cube and cube is placed inside the cylinder with height double the edge of cube. What will be the remaining volume of cube if the volume of sphere is carved out?1. 289/5 cm cube2. 395/6 cm cube3. 490/3 cm cube4. 371/2 cm cube |
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Answer» Correct Answer - Option 3 : 490/3 cm cube Given: The diameter of sphere is 7 cm and sphere is placed inside cube and cube is placed inside cylinder Formula Used: Volume of sphere = 4/3πr3 Volume of cube = (side) 3 Calculation: The diameter of sphere is 7 cm then radius will be 7/2 cm ∴ Volume of sphere = 4/3πr3 = 4/3 × 22/7 × (7/2)3 = 539/3 cm cube Now, the side of cube is equivalent to the diameter of sphere because sphere is inside the cube ∴ Volume of cube = (side)3 = (7)3 = 343 Now, the remaining volume when sphere is carved out from the cube ∴ Volume of remaining figure = 343 - 539/3 = 490/3 cm cube Hence, option (3) is correct |
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