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A cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?
- a)1 cm
- b)1.5 cm
- c)1.75 cm
- d)2 cm
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
A cylindrical cistern of radius 42 cm is partly filled with water. By...
To find the rise in water level, we need to calculate the volume of the rectangular block and equate it to the volume of water displaced.
Given:
Radius of the cylindrical cistern = 42 cm
Dimensions of the rectangular block = 24 cm x 21 cm x 11 cm
1. Calculate the volume of the rectangular block:
Volume of the rectangular block = Length x Width x Height
Volume = 24 cm x 21 cm x 11 cm
Volume = 5544 cm³
2. Calculate the volume of water displaced:
The volume of water displaced is equal to the volume of the rectangular block.
Volume of water displaced = 5544 cm³
3. Calculate the rise in water level:
The volume of water displaced is equal to the volume of the cylinder formed by the rise in water level.
Volume of water displaced = πr²h
5544 cm³ = π(42 cm)²h
h = 5544 cm³ / (π(42 cm)²)
h ≈ 3.33 cm
Therefore, the water level will rise by approximately 3.33 cm.
However, since the options provided are in whole numbers, we need to round off the answer. Rounding off to the nearest whole number, the water level will rise by 3 cm.
So, the correct answer is option A) 3 cm.
Given:
Radius of the cylindrical cistern = 42 cm
Dimensions of the rectangular block = 24 cm x 21 cm x 11 cm
1. Calculate the volume of the rectangular block:
Volume of the rectangular block = Length x Width x Height
Volume = 24 cm x 21 cm x 11 cm
Volume = 5544 cm³
2. Calculate the volume of water displaced:
The volume of water displaced is equal to the volume of the rectangular block.
Volume of water displaced = 5544 cm³
3. Calculate the rise in water level:
The volume of water displaced is equal to the volume of the cylinder formed by the rise in water level.
Volume of water displaced = πr²h
5544 cm³ = π(42 cm)²h
h = 5544 cm³ / (π(42 cm)²)
h ≈ 3.33 cm
Therefore, the water level will rise by approximately 3.33 cm.
However, since the options provided are in whole numbers, we need to round off the answer. Rounding off to the nearest whole number, the water level will rise by 3 cm.
So, the correct answer is option A) 3 cm.
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Community Answer
A cylindrical cistern of radius 42 cm is partly filled with water. By...
Change in the volume of the cylindrical column with increased height = Volume of the rectangular block
Option A is the correct answer.
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A cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?a)1 cmb)1.5 cmc)1.75 cmd)2 cmCorrect answer is option 'A'. Can you explain this answer?
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A cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?a)1 cmb)1.5 cmc)1.75 cmd)2 cmCorrect answer is option 'A'. 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 cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?a)1 cmb)1.5 cmc)1.75 cmd)2 cmCorrect answer is option 'A'. 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 cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?a)1 cmb)1.5 cmc)1.75 cmd)2 cmCorrect answer is option 'A'. Can you explain this answer?.
A cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?a)1 cmb)1.5 cmc)1.75 cmd)2 cmCorrect answer is option 'A'. 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 cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?a)1 cmb)1.5 cmc)1.75 cmd)2 cmCorrect answer is option 'A'. 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 cylindrical cistern of radius 42 cm is partly filled with water. By how much will the water level rise, if a rectangular block 24 cm x 21 cm x 11 cm is wholly immersed in the water?a)1 cmb)1.5 cmc)1.75 cmd)2 cmCorrect answer is option 'A'. Can you explain this answer?.
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