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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 is the volume of cylinder?1. 4321 cm32. 1078 cm33. 2598 cm34. 5132 cm3 |
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Answer» Correct Answer - Option 2 : 1078 cm3 Given: The diameter of sphere is 7 cm and sphere is placed inside cube and cube is placed inside cylinder Formula Used: Volume of cylinder = π r2h Length of diagonal of square = √2 × side Calculation: Edge of cube = Diameter of sphere = 7 cm Height of cylinder = 2 × edge of cube = 2 × 7 = 14 cm Radius of cylinder = Diagonal of cube/2 = 7√2/2 = 7/√2 Now, Volume of cylinder = πr2h = 22/7 × (7/√2)2 × 14 = 1078 cm3 Hence, option (2) is correct |
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