Math, asked by jerrypradhan, 7 hours ago

if the height of two right circular cylinders are in tye ratio 3:4 and perimeter are in the ratio1:2, then find the ratio of their volumes​

Answers

Answered by himanshuak354
5

Answer:

your answer is 3:16.

see the attachment

Step-by-step explanation:

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Answered by OoINTROVERToO
7

GiVEN

  • Height of two right circular cylinder are in the ratio 3:4 and perimeter of bases are in the ratio 1:2

To Find

  • ratio of their volume.

SOLUTION

Perimeter of bases are in the ratio 1:2

Hence radius of base are in ratio 1 : 2

Let say radius are r & 2r

Ratio of height of two right circular cylinder = 3:4

  • Let say height are 3h & 4h

Volume of cylinder = πr²h

Volume of 1st cylinder = πr²(3h) = 3πr²h

Volume of 2nd cylinder = π(2r)²(4h) =16πr²h

Hence ratio of their volume

3πr²h : 16πr²h

= 3 : 16

3:16 is the ratio of their volume. if height are in the ratio 3:4 and perimeter of base are in the ratio 1:2

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