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Standard IX
Mathematics
Curved Surface area of a right circular cylinder
Question
If lateral surface area of a cylinder of height 10 cm is 100 cm
2
, find radius of its base.
5
π
5
π
6
π
π
5
A
5
π
B
5
π
C
π
5
D
6
π
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Solution
Verified by Toppr
Given that, the lateral surface area of a cylinder of height
10
c
m
is
100
c
m
2
.
To find out: The radius of the base of the cylinder.
We know that, lateral surface area of a cylinder is
2
π
r
h
∴
2
π
r
h
=
100
⇒
2
π
r
(
10
)
=
100
⇒
20
π
r
=
100
⇒
r
=
100
20
π
∴
r
=
5
π
Hence, the radius of the base of the given cylinder is
5
π
.
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3
Similar Questions
Q1
If lateral surface area of a cylinder of height 10 cm is 100 cm
2
, find radius of its base.
View Solution
Q2
If the lateral surface of a cylinder is 94.2 cm
2
and its height is 5 cm, then find
(i) radius of its base.
(ii) its volume(Use
π
=
3.14
).
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Q3
If the lateral surface of the cylinder is
500
c
m
2
and ts height is 10 cm, then find radius of its base. (use
π
=
3.14
).
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Q4
If the lateral surface of a cylinder is
94.2
c
m
2
and its height is
5
c
m
, then find
radius of its base. (Use
π
=
3.14
)
View Solution
Q5
If the lateral surface a cylinder is
94.2
cm
2
and its height is
5
cm, then find
(i) radius of its base and
(ii) its volume
View Solution