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A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is
Correct answer is '6'. Can you explain this answer?
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A ball of diameter 4 cm is kept on top of a hollow cylinder standing v...
The height of the cylinder (h) = 3
The volume = 9π
πr2h = 9π ⇒ r = √3
The radius of the ball (R) = 2
The height of O, the centre of the ball, above the line representing the top of the cylinder is say a. (a = 1) ∴ The height of the topmost point of the ball from the base of the cylinder is h + a +R = 3 + 1 + 2 = 6
Answer: 6
The volume = 9π
πr2h = 9π ⇒ r = √3
The radius of the ball (R) = 2
The height of O, the centre of the ball, above the line representing the top of the cylinder is say a. (a = 1) ∴ The height of the topmost point of the ball from the base of the cylinder is h + a +R = 3 + 1 + 2 = 6
Answer: 6
Most Upvoted Answer
A ball of diameter 4 cm is kept on top of a hollow cylinder standing v...
To find the volume of the hollow cylinder, we need to subtract the volume of the inner cylinder from the volume of the outer cylinder.
Let's assume the radius of the ball is r cm.
The diameter of the ball is 4 cm, so the radius is 4/2 = 2 cm.
The height of the cylinder is given as 3 cm, and the volume is given as 9 cm^3.
The volume of a cylinder is calculated using the formula V = πr^2h.
The volume of the outer cylinder is 9 cm^3, so we have πr^2h = 9.
Substituting the given values, we have π(2^2)(3) = 9.
Simplifying, we have 12π = 9.
Dividing both sides by π, we have 12 = 9/π.
Therefore, the radius of the outer cylinder is 3/(π/4) = 12/π cm.
The volume of the inner cylinder can be calculated using the same formula, V = πr^2h.
The height of the inner cylinder is the height of the outer cylinder minus the diameter of the ball, which is 3 - 4 = -1 cm.
However, a negative height does not make sense, so the inner cylinder does not exist.
Therefore, the volume of the hollow cylinder is 9 cm^3.
Let's assume the radius of the ball is r cm.
The diameter of the ball is 4 cm, so the radius is 4/2 = 2 cm.
The height of the cylinder is given as 3 cm, and the volume is given as 9 cm^3.
The volume of a cylinder is calculated using the formula V = πr^2h.
The volume of the outer cylinder is 9 cm^3, so we have πr^2h = 9.
Substituting the given values, we have π(2^2)(3) = 9.
Simplifying, we have 12π = 9.
Dividing both sides by π, we have 12 = 9/π.
Therefore, the radius of the outer cylinder is 3/(π/4) = 12/π cm.
The volume of the inner cylinder can be calculated using the same formula, V = πr^2h.
The height of the inner cylinder is the height of the outer cylinder minus the diameter of the ball, which is 3 - 4 = -1 cm.
However, a negative height does not make sense, so the inner cylinder does not exist.
Therefore, the volume of the hollow cylinder is 9 cm^3.
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A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. Can you explain this answer?
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A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. 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 ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. 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 ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. Can you explain this answer?.
A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. 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 ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. 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 ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. Can you explain this answer?.
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A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. Can you explain this answer?, a detailed solution for A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. Can you explain this answer? has been provided alongside types of A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3cm, while its volume is 9π cm3 . Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder isCorrect answer is '6'. Can you explain this answer? theory, EduRev gives you an
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