Question

9. Two cylindrical jars contain the same amount of milk. If their diameters are in the
ratio 3: 4, find the ratio of their heights.

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Answer 1

Answer:

Answer

Let r and R are the radii of the base of two cylindrical jars.

Let h and H are the height of the two cylindrical jars.

Now,

⇒DiameterofthesecondjarDiameterofthefirstjar=43

⇒2πR2πr=43

⇒Rr=43

Again,

⇒VolumeofthesecondjarVolumeofthefirstjar=1 [ since same amount of mil contain ]

⇒πR2Hπr2h=1

⇒R2Hr2h=1

⇒(R2r2)×Hh=1

⇒(43)2×Hh=1

⇒169×Hh=1

⇒Hh=1691

⇒Hh=916

⇒hH=169

⇒H:h=9:16

So, the ratio of their height is 9:16.

Hence, the answer is 9:16.