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UPSC CDS 1 2021 Math Paper
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© examsnet.com
Question : 73
Total: 100
The ratio of the radius of base to the height of a cylinder is 2 : 3. If the volume of the cylinder is 1617 cm
3
, then what is the curved surface area of the cylinder?
(
Take
π
=
22
7
)
242 cm
2
385 cm
2
462 cm
2
770 cm
2
Validate
Solution:
👈: Video Solution
let the radius of base and height of the cylinder is 2x and 3x respectively.
And the volume of the cylinder
V
=
π
r
2
h
1617
=
22
7
×
(
4
x
2
)
×
(
3
x
)
x
3
=
49
×
7
8
=
7
3
2
3
x
=
7
2
Curved surface area of the con
=
2
π
r
h
=
2
×
22
7
×
2
x
×
3
x
=
3
×
8
×
11
7
×
49
4
=
462
c
m
2
© examsnet.com
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