Question

Radii of two cylinders are in the ratio 2:3 and their height are in the ratio 5:3 . find ratio of their volumes.​

Answer 1

Answer:

volume of cylinder = πr×rh

22/7×2×2×5 = 22/7×3×3×3

= 440/7 = 594/7

ans

Answer 2

❥${\purple{\underline{\underline{\large{\mathtt{Question:-}}}}}}$

Radii of two cylinders are in the ratio 2:3 and their height are in the ratio 5:3 . find ratio of their volumes.

❥${\purple{\underline{\underline{\large{\mathtt{Solution:-}}}}}}$

•Radii of two cylinders are in the ratio 2:3.

• Height of the two cylinders are in the ratio 5:3.

Consider,

• The radii of 1st cylinder = 2x

• The radii of 2nd cylinder= 3x

• The height of 1st cylinder=5y

• The height of 2nd cylinder= 3y

➪${\red{\boxed{\bold{Volume\:of\: cylinder\:=\:π*r^2*h}}}}$

→So, the volume of 1st cylinder,

π*(2x)²*5y

= 20πx²y

→Volume of 2nd cylinder,

π*(3x)²*3y

= 27πx²y

Now,

Volume of 1st cylinder : Volume of 2nd cylinder

= 20πx²y : 27πx²y

=${\green{\boxed{\bold{\: 20:27}}}}$

❥${\purple{\underline{\underline{\large{\mathtt{Answer:-}}}}}}$

The ratio of their volumes = 20 : 27.