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Rashmi buys a vessel made by joining a cylinder (hollow and open at both ends) and a hollow hemisphere such that the cylindrical part fits above the hemispherical part. She fills the vessel to the brim with water. The depth of the entire vessel is 15 cm. Ravish accidently drops 50 spherical marbles, each of radius 1 cm, into the vessel, due to which some amount of water spills out. What is the approximate ratio of the volume of water that is spilled out to the total volume of water originally contained in the vessel if the diameter of the base of the cylinder is 12 cm?
  • a)
    1/5
  • b)
    2/13
  • c)
    1/7
  • d)
    7/18
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Rashmi buys a vessel made by joining a cylinder (hollow and open at bo...
Let R and r be the radii of the cylinder and a spherical marble respectively and h be the depth of the entire vessel.
The height o f the cylinder = h - R = 15 - 6 = 9 cm
The radius of the hemisphere = R = 6 cm
Total volume of the container = Volume of the cylinder + Volume of the hemisphere

Volume of water spilled out = Number of spherical marbles X Volume of each marble


Hence, option 3.
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Most Upvoted Answer
Rashmi buys a vessel made by joining a cylinder (hollow and open at bo...
Let R and r be the radii of the cylinder and a spherical marble respectively and h be the depth of the entire vessel.
The height o f the cylinder = h - R = 15 - 6 = 9 cm
The radius of the hemisphere = R = 6 cm
Total volume of the container = Volume of the cylinder + Volume of the hemisphere

Volume of water spilled out = Number of spherical marbles X Volume of each marble


Hence, option 3.
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Community Answer
Rashmi buys a vessel made by joining a cylinder (hollow and open at bo...
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Rashmi buys a vessel made by joining a cylinder (hollow and open at both ends) and a hollow hemisphere such that the cylindrical part fits above thehemispherical part. She fills the vessel to the brim with water. The depth of the entire vessel is 15 cm. Ravish accidently drops 50 spherical marbles, each of radius 1 cm, into the vessel, due to which some amount of water spills out. What is the approximate ratio of the volume of water that is spilled out to the total volume of water originally contained in the vessel if the diameter of the base of the cylinder is 12 cm?a)1/5b)2/13c)1/7d)7/18Correct answer is option 'C'. Can you explain this answer?
Question Description
Rashmi buys a vessel made by joining a cylinder (hollow and open at both ends) and a hollow hemisphere such that the cylindrical part fits above thehemispherical part. She fills the vessel to the brim with water. The depth of the entire vessel is 15 cm. Ravish accidently drops 50 spherical marbles, each of radius 1 cm, into the vessel, due to which some amount of water spills out. What is the approximate ratio of the volume of water that is spilled out to the total volume of water originally contained in the vessel if the diameter of the base of the cylinder is 12 cm?a)1/5b)2/13c)1/7d)7/18Correct 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 Rashmi buys a vessel made by joining a cylinder (hollow and open at both ends) and a hollow hemisphere such that the cylindrical part fits above thehemispherical part. She fills the vessel to the brim with water. The depth of the entire vessel is 15 cm. Ravish accidently drops 50 spherical marbles, each of radius 1 cm, into the vessel, due to which some amount of water spills out. What is the approximate ratio of the volume of water that is spilled out to the total volume of water originally contained in the vessel if the diameter of the base of the cylinder is 12 cm?a)1/5b)2/13c)1/7d)7/18Correct 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 Rashmi buys a vessel made by joining a cylinder (hollow and open at both ends) and a hollow hemisphere such that the cylindrical part fits above thehemispherical part. She fills the vessel to the brim with water. The depth of the entire vessel is 15 cm. Ravish accidently drops 50 spherical marbles, each of radius 1 cm, into the vessel, due to which some amount of water spills out. What is the approximate ratio of the volume of water that is spilled out to the total volume of water originally contained in the vessel if the diameter of the base of the cylinder is 12 cm?a)1/5b)2/13c)1/7d)7/18Correct answer is option 'C'. Can you explain this answer?.
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