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Byju's Answer
Standard IX
Mathematics
Curved Surface area of a right circular cylinder
In a cylinder...
Question
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
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Solution
The answer is C.
Let the radius be r and height be h of a cylinder.
∴
Curved surface area of the cylinder
=
2
π
r
h
We have, radius = 2r, height
=
h
2
New curved surface area
=
2
π
(
2
r
)
×
h
2
=
2
π
r
h
Hence, the curved surface area will be same.
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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