Math, asked by gaytripatta1986, 4 days ago

the ratio of radii of two clyinders 1:2 and the hieghtly are in ratio 2:3 find the ratio of their vloume

Answers

Answered by devindersaroha43
10

Answer:

Step-by-step explanation:

Therefore, the ratio of their volume is 1/6. The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio of 5 : 3.

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Answered by lalith2004ky
0

Answer:

Let the radii of the two cylinders be r and R respectively and the heights of the two cylinders be h and H respectively.

Ratio of Radii of cylinders = 1:2 = r:R

Therefore, r = R/2.

Ratio of the Heights of cylinders = 2:3 = h:H

Therefore, 3h = 2H

h = 2H/3.

Ratio of the Volumes = 2πr²h:2πR²H

= r²h:R²H

= (R/2)²×(2H/3) : R²H

= (R²/4)×2H/3 : R²H

= 2R²H/12 : R²H

= R²H/6 : R²H

= 1/6:1

= 1:6

The Ratio of the Volumes of the Cylinders is 1:6.

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