Question

the radius of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:4 then find the ratio of their curved surface areas?
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Answer 1

..QUESTION..

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The radius of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:4 then find the ratio of their curved surface areas?

..ANSWER..

GIVEN ,

ㅤㅤㅤ➪ Ratio of radius = 2:3

ㅤㅤㅤ➪ Ratio of height = 5:4

★ Let all the values be x

•°• Ratio of Radii of the cylinders = 2x:3x

And ,

ㅤRatio of the heights of ㅤ"ㅤ"ㅤ= 5x:4x

•°• C.S.A of the first cylinder »

➪ 2 π r h

➪ 2 × 22/7 × 2x × 5x

➪ 44/7 × 10x²

➪ 62.850 x²ㅤㅤ ----------- ( approx )

Now ,

☯︎ C.S.A of the second Cylinder »

➪ 2 π r h

➪ 2 × 22/7 × 3x × 4x

➪ 44/7 × 12x²

➪ 75.425 x² ㅤㅤㅤ---------- ( approx )

•°• Ratio of their C.S.A =

ㅤㅤㅤ➪ 62.850x² / 75.425x²

ㅤㅤㅤ➪ 0.8

ㅤㅤㅤ➪ 8/10

ㅤㅤㅤ➪ 4 / 5

•°• Ratio of their C.S.A = 4:5

ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂

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