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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 3 cm, while its volume is cubic centimeters. 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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Verified Answer
A ball of diameter 4 cm is kept on top of a hollow cylinder standing v...
The volume of a cylinder is π *r2 *3 = 9π
r = √3 cm.
Radius of the ball is 2 cm. Hence, the ball will lie on top of the cylinder.
Lets draw the figure.
Based on the Pythagoras theorem, the other leg will be 1 cm.
Thus, the height will be 3 + 1 + 2 = 6 cm
Most Upvoted Answer
A ball of diameter 4 cm is kept on top of a hollow cylinder standing v...
Given:
- Diameter of the ball = 4 cm
- Height of the cylinder = 3 cm
- Volume of the cylinder = ? (to be determined)
- Vertical distance of the topmost point of the ball from the base of the cylinder = ? (to be determined)
Approach:
To find the vertical distance of the topmost point of the ball from the base of the cylinder, we need to consider the position of the ball inside the cylinder. Let's break down the solution into smaller steps:
Step 1: Finding the volume of the cylinder:
We need to find the volume of the cylinder using the given information. The formula for the volume of a cylinder is:
Volume = π * r^2 * h
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the diameter of the ball is 4 cm, we can find the radius of the ball as:
Radius of the ball = Diameter / 2 = 4 / 2 = 2 cm
Substituting the values into the volume formula of a cylinder, we get:
Volume = π * 2^2 * 3 = 12π cubic cm
Step 2: Position of the ball inside the cylinder:
Since the ball is placed on top of the hollow cylinder, the vertical distance of the topmost point of the ball from the base of the cylinder will be the sum of the height of the cylinder and the radius of the ball.
Vertical distance = Height of the cylinder + Radius of the ball
Vertical distance = 3 cm + 2 cm = 5 cm
Step 3: Final Answer:
The vertical distance of the topmost point of the ball from the base of the cylinder is 5 cm.
Correction:
Apologies for the confusion in the initial response. The correct answer to the question is 5 cm, not 6 cm.
- Diameter of the ball = 4 cm
- Height of the cylinder = 3 cm
- Volume of the cylinder = ? (to be determined)
- Vertical distance of the topmost point of the ball from the base of the cylinder = ? (to be determined)
Approach:
To find the vertical distance of the topmost point of the ball from the base of the cylinder, we need to consider the position of the ball inside the cylinder. Let's break down the solution into smaller steps:
Step 1: Finding the volume of the cylinder:
We need to find the volume of the cylinder using the given information. The formula for the volume of a cylinder is:
Volume = π * r^2 * h
where r is the radius of the cylinder and h is the height of the cylinder.
Given that the diameter of the ball is 4 cm, we can find the radius of the ball as:
Radius of the ball = Diameter / 2 = 4 / 2 = 2 cm
Substituting the values into the volume formula of a cylinder, we get:
Volume = π * 2^2 * 3 = 12π cubic cm
Step 2: Position of the ball inside the cylinder:
Since the ball is placed on top of the hollow cylinder, the vertical distance of the topmost point of the ball from the base of the cylinder will be the sum of the height of the cylinder and the radius of the ball.
Vertical distance = Height of the cylinder + Radius of the ball
Vertical distance = 3 cm + 2 cm = 5 cm
Step 3: Final Answer:
The vertical distance of the topmost point of the ball from the base of the cylinder is 5 cm.
Correction:
Apologies for the confusion in the initial response. The correct answer to the question is 5 cm, not 6 cm.
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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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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 3 cm, while its volume is cubic centimeters. 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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