Question

the radius of two right circular cylinder are in ratio 2ratio3 height are in ratio 5ratio4.calculate the ratio of curved surface area and also the ratio of there volume​

Answer 1

Answer:

your answer

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

Answer 2

$\sf{\underline\purple{Question}}$

the radius of two right circular cylinder are in ratio 2ratio3 height are in ratio 5ratio4.calculate the ratio of curved surface area and also the ratio of there volume

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$\sf{\underline\purple{Answer}}$

→Let the radii of 2 cylinders be 2r and 3r respectively and their heights be 5h and 4h respectively.

→Let S¹ and S² be the curved surface area of the two cylinders

S¹ → CSA of cylinder of radius 2r and height 5h=S 5h =2×π×2r×5h=20πrh

S² → CSA of cylinder with radius 3r and height 4h=S =2×π×3r×4h=24πrh

therefore

$\huge \frac{s {}^{1} }{s {}^{2} } = \frac{20\pi \: rh}{20\pi \: rh} = \frac{5}{6}$

Answer

∴S¹ :S² =5:6.

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