The radii of two night circular cylinders are in the
ratio 3: 4 and their heights are in the ratio 1:2
Calculate the ratio of their curved surface areas
Answers
Answered by
1
ANSWER
Let the radii of 2 cylinders be 2r and 3r respectively and their heights be 5h and 4h respectively.
Let S
1
and S
2
be the curved surface areas of two cylinders.
S
1
→ CSA of cylinder of radius 2r and height 5h=S
1
=2×π×2r×5h=20πrh
S
2
→ CSA of cylinder with radius 3r and height 4h=S
2
=2×π×3r×4h=24πrh
∴
S
2
S
1
=
24πrh
20πrh
=
6
5
∴S
1
:S
2
=5:6.
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