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if the radius of a cylinder is doubled and height is halved, what is the ratio between the new volume and the previous volume?
  • a)
    1:2
  • b)
    2:1
  • c)
    2:3
  • d)
    1:4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
if the radius of a cylinder is doubled and height is halved, what is t...
New volume = (22/7)*4r2*h/2 and old volume = (22/7)*r2*h
so ratio = 2:1
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Most Upvoted Answer
if the radius of a cylinder is doubled and height is halved, what is t...
To find the ratio between the new volume and the previous volume of a cylinder, we need to compare the two volumes after the given changes in the measurements. Let's consider the initial volume as V1 and the new volume as V2.

Given:
Radius of the cylinder is doubled: r2 = 2 * r1
Height of the cylinder is halved: h2 = h1 / 2

Volume of a cylinder is given by the formula:
V = π * r^2 * h

1. Calculate the initial volume (V1)
V1 = π * r1^2 * h1

2. Calculate the new volume (V2)
V2 = π * r2^2 * h2

Substituting the given values in the formulas:
V2 = π * (2 * r1)^2 * (h1 / 2)
= 4 * π * r1^2 * (h1 / 2)
= 2 * π * r1^2 * h1
= 2 * V1

The new volume (V2) is twice the initial volume (V1). Therefore, the ratio between the new volume and the previous volume is 2:1. Hence, the correct answer is option 'B'.
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if the radius of a cylinder is doubled and height is halved, what is t...
A
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if the radius of a cylinder is doubled and height is halved, what is the ratio between the new volume and the previous volume?a)1:2b)2:1c)2:3d)1:4Correct answer is option 'B'. Can you explain this answer?
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