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If 350 stones of spherical shape are dropped into a hemispherical cup containing some water, they get fully submerged. Diameter of the cup is 14 m. What will be the radius of the stone, if the water just spills off from the hemispherical cup?
  • a)
    0.88 m
  • b)
    0.0049 m
  • c)
    0.049 m
  • d)
    0.79 m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If 350 stones of spherical shape are dropped into a hemispherical cup ...
Given data:
- Number of stones = 350
- Diameter of the cup = 14 m

Calculating the volume of stones:
- Volume of 1 stone = 4/3 * π * r^3, where r is the radius of the stone
- Volume of 350 stones = 350 * (4/3 * π * r^3)

Calculating the volume of the cup:
- Volume of a hemisphere = 2/3 * π * r^3, where r is the radius of the cup
- Volume of the cup = 2/3 * π * (7)^3

When the stones are dropped:
- Total volume of stones = Volume of the cup
- 350 * (4/3 * π * r^3) = 2/3 * π * (7)^3
- Solving for r, we get r = 0.79 m
Therefore, the radius of the stone is 0.79 meters (option D).
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If 350 stones of spherical shape are dropped into a hemispherical cup containing some water, they get fully submerged. Diameter of the cup is 14 m. What will be the radius of the stone, if the water just spills off from the hemispherical cup?a)0.88 mb)0.0049 mc)0.049 md)0.79 mCorrect answer is option 'D'. Can you explain this answer?
Question Description
If 350 stones of spherical shape are dropped into a hemispherical cup containing some water, they get fully submerged. Diameter of the cup is 14 m. What will be the radius of the stone, if the water just spills off from the hemispherical cup?a)0.88 mb)0.0049 mc)0.049 md)0.79 mCorrect answer is option 'D'. 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 If 350 stones of spherical shape are dropped into a hemispherical cup containing some water, they get fully submerged. Diameter of the cup is 14 m. What will be the radius of the stone, if the water just spills off from the hemispherical cup?a)0.88 mb)0.0049 mc)0.049 md)0.79 mCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 350 stones of spherical shape are dropped into a hemispherical cup containing some water, they get fully submerged. Diameter of the cup is 14 m. What will be the radius of the stone, if the water just spills off from the hemispherical cup?a)0.88 mb)0.0049 mc)0.049 md)0.79 mCorrect answer is option 'D'. Can you explain this answer?.
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