Question

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:

16:9

Step-by-step explanation:

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

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

Now,

Diameter of the first jar/Diameter of the second jar = 3/4

=> 2πr/2πR = 3/4

=> r/R= 3/4

=> r/3 = R/4 = k (say)

=> r = 3k and R = 4k

Again, volume of the first jar = Volume of the second jar

[Since jars contains the same amount of milk]

=> πr2 h = πR2 H

=> r2 h = R2 H

=> (3k)2 * h = (4k)2 * H

=> 9k2 * h = 16k2 * H

=> 9h = 16H

=> h/H = 16/9

=> h : H = 16 : 9