Question

The ratio of the two radii of two cylinders is 2:3 and the ratio of thier heights is 5:3. The ratio of thier volumes be

Answer 1

Answer:

Step-by-step explanation:

As radii of two cylinder in in ratio of 2:3

So radius of 1st cylinder=2r

radius of 2st cylinder=3r

heights are in the ratio 5:3.  

height of 1st cylinder=5h

height of 2st cylinder=3h

ratio of volume=volume of 1st cylinder/volume of 2nd cylinder

V=Π(2r)  

2

∗5h/Π(3r)  

2

∗3h

V=20rh/27rh

V=20/27

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Answer 2

Answer:

20:27

Step-by-step explanation:

As radii of two cylinder in in ratio of 2:3

So radius of 1st cylinder=2x

radius of 2st cylinder=3x

heights are in the ratio 5:3.

height of 1st cylinder=5h

height of 2st cylinder=3h

ratio of volume=volume of 1st cylinder/volume of 2nd cylinder

V=Π(2x)2∗5h/Π(3x)2∗3h

V=20rh/27rh

V=20/27