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In a cylinder, if the radius is doubled and the height is halved. The curved surface area will be:
  • a)
    Halved
  • b)
    Same
  • c)
    Doubled
  • d)
    Four times
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In a cylinder, if the radius is doubled and the height is halved. The ...
The curved surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height.

If the radius is doubled, the new radius will be 2r. If the height is halved, the new height will be h/2.

Substituting these values in the formula for curved surface area, we get:

New curved surface area = 2π(2r)(h/2) = 2πrh

This is the same as the original curved surface area.

Therefore, the answer is option b) Same.
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Community Answer
In a cylinder, if the radius is doubled and the height is halved. The ...
Let's denote the initial radius as r and the initial height as h. The curved surface area (CSA) of a cylinder is given by the formula:

CSA = 2 * pi * r * h

Now, if we double the radius and halve the height, we get a new radius of 2r and a new height of h/2. The new curved surface area (CSA') will be:

CSA' = 2 * pi * (2r) * (h/2)

Now, let's simplify the equation:

CSA' = 2 * pi * 2r * h/2
CSA' = (2 * pi * r * h) * (2/2)

Since 2/2 = 1, we have:

CSA' = 2 * pi * r * h

Comparing the initial curved surface area (CSA) and the new curved surface area (CSA'), we can see that they are equal:

CSA = CSA'

Therefore, the curved surface area remains the same when the radius is doubled and the height is halved.

The correct answer is (b) Same.
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In a cylinder, if the radius is doubled and the height is halved. The curved surface area will be:a)Halvedb)Samec)Doubledd)Four timesCorrect answer is option 'B'. Can you explain this answer?
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