Question

The heights of two right circular cylinders are in the ratio 5: 4. If their radii are
in the ration 2: 3, find the ratio of their curved surface areas.

Answer 1

Step-by-step explanation:

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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