In a cylinder, if the radius is halved and height is doubled, the curved surface area will

remain same

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increase

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decrease

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none of the above

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Solution

The correct option is A remain same
Volume of cylinder $π r^{2} h$
Now, if $r = \frac{r}{2} & h = h 2$
New CSA $= 2 π r h$
$= 2 π (\frac{r}{2}) \times (h \times 2)$
$= 2 π r h$
It will remain same

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Similar questions

Q. In a cylinder, if radius is doubled and height is halved, curved surface area will be _________.

Q. If the radius of a cylinder is doubled and the height is halved, then what would happen to the curved surface area?

Q. Question 4
In a cylinder, the radius is doubled and height is halved, then the curved surface area will be:

A) Halved
B) Doubled
C) Same
D) Four times

Question 6

If the height of a cylinder becomes $\frac{1}{4}$ of the original height and the radius is doubled, then which of the following will be true ?
(a) Curved surface area of the cylinder will be doubled
(b) Curved surface area of the cylinder will remain unchanged
(c) Curved surface area of the cylinder will be halved
(d) Curved surface area will be $\frac{1}{4}$ of the original curved surface

Q. Mark the correct alternative in each of the following:

In a cylinder, if radius is doubled and height is halved, curved surface area will be

(a) halved

(b) doubled

(c) same

(d) four times

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In a cylinder, if the radius is halved and height is doubled, the curved surface area will

The correct option is A remain sameVolume of cylinder πr2hNow, if r=r2&h=h2New CSA =2πrh=2π(r2)×(h×2)=2πrhIt will remain same

The correct option is A remain same
Volume of cylinder $π r^{2} h$
Now, if $r = \frac{r}{2} & h = h 2$
New CSA $= 2 π r h$
$= 2 π (\frac{r}{2}) \times (h \times 2)$
$= 2 π r h$
It will remain same