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A solid spherical ball of radius 3 units has a hole of diameter 0.5 units and depth 6 units along the diameter of the ball. It is kept over a cylinder of diameter 6 units and height 12 units such that half of the ball is inside the cylinder. The axis of the hole is perpendicular to the mouth of the cylinder. What is the approximate volume of water that can be filled through the hole without overflowing?  
  • a)
     84.25π cu. units
  • b)
    75π cu. units
  • c)
    90.375π cu. units
  • d)
    95.75π c u . units
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A solid spherical ball of radius 3 units has a hole of diameter 0.5 un...
Volume of the water that can be filled without overflowing = Volume of cylinder - Volume of hemisphere + volume of cylindrical hole. As the diameter of the cylindrical hole is small, the curvature can be neglected.
Hence assuming the hole to be a cylinder with radius 0.25 units and height 6 units.
Volume of water that can be filled
90.375π cu. units.
Hence, option 3.
 
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A solid spherical ball of radius 3 units has a hole of diameter 0.5 units and depth 6 units along the diameter of the ball. It is kept over a cylinder of diameter 6 units and height 12 units such that half of the ball is inside the cylinder. The axis of the hole is perpendicular to the mouth of the cylinder. What is the approximate volume of water that can be filled through the hole without overflowing? a)84.25πcu. unitsb)75πcu. unitsc)90.375πcu. unitsd)95.75πc u . unitsCorrect answer is option 'C'. Can you explain this answer?
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A solid spherical ball of radius 3 units has a hole of diameter 0.5 units and depth 6 units along the diameter of the ball. It is kept over a cylinder of diameter 6 units and height 12 units such that half of the ball is inside the cylinder. The axis of the hole is perpendicular to the mouth of the cylinder. What is the approximate volume of water that can be filled through the hole without overflowing? a)84.25πcu. unitsb)75πcu. unitsc)90.375πcu. unitsd)95.75πc u . unitsCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A solid spherical ball of radius 3 units has a hole of diameter 0.5 units and depth 6 units along the diameter of the ball. It is kept over a cylinder of diameter 6 units and height 12 units such that half of the ball is inside the cylinder. The axis of the hole is perpendicular to the mouth of the cylinder. What is the approximate volume of water that can be filled through the hole without overflowing? a)84.25πcu. unitsb)75πcu. unitsc)90.375πcu. unitsd)95.75πc u . unitsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A solid spherical ball of radius 3 units has a hole of diameter 0.5 units and depth 6 units along the diameter of the ball. It is kept over a cylinder of diameter 6 units and height 12 units such that half of the ball is inside the cylinder. The axis of the hole is perpendicular to the mouth of the cylinder. What is the approximate volume of water that can be filled through the hole without overflowing? a)84.25πcu. unitsb)75πcu. unitsc)90.375πcu. unitsd)95.75πc u . unitsCorrect answer is option 'C'. Can you explain this answer?.
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