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The height of two cylinders are equal and their radius are in the ratio of 1 : 2 respectively. What is the respective ratio of the volume of the two cylinders?
- a)1 : 4
- b)1 : 2
- c)1 : 8
- d)1 : 6
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The height of two cylinders are equal and their radius are in the rati...
Ratio of radius = 1 ∶ 2
Let, ratio of the first cylinder = x and ratio of second cylinder = 2x
Let, height of both cylinders = h
∴ Ratio of volume of the two cylinders,
⇒ π × x2 × h ∶ π × (2x)2 × h
⇒ x2 ∶ 4x2
⇒ 1 ∶ 4
Most Upvoted Answer
The height of two cylinders are equal and their radius are in the rati...
Let the radii of cylinder be 1x and 2 X rep.
vol of cylinder 1 = pi × r^2 × h
= pi * x^2 *h
vol of cylinder 2 = pi × R^2 * h
= pi × 4x^2 *h
ratio = pi* x^2 *h/pi*4x^2 * h
= 1/4
vol of cylinder 1 = pi × r^2 × h
= pi * x^2 *h
vol of cylinder 2 = pi × R^2 * h
= pi × 4x^2 *h
ratio = pi* x^2 *h/pi*4x^2 * h
= 1/4
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The height of two cylinders are equal and their radius are in the ratio of 1 : 2 respectively. What is the respective ratio of the volume of the two cylinders?a)1 : 4b)1 : 2c)1 : 8d)1 : 6Correct answer is option 'A'. Can you explain this answer?
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