Question

If the radii of two circular cylinders are in the ratio3:4 and their heights are in the ratio 6:5. Find the ratio of their volumes.

Answer 1

Answer:

27:40

Step-by-step explanation:

VOLUME OF CYLINDER = $\pi$$r^{2}$$h$

Ratio = $\frac{\pi r^2h}{\pi r^2h}$

= $\frac{3^{2}*6}{4^{2} *5}$                 [Pi is cancelled]

= $\frac{9*6}{16*5}$

=$\frac{54}{80}$

=$\frac{27}{40}$

=27:40

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Answer 2

Answer:

27:40

Step-by-step explanation:

let the radius of one of the cylinder be 3x

then , radius of other cylinder = 4x

let the height of one of the cylinders be 6y

then , height of other cylinder = 5y

therefore , reqd. ratio = volume of one cylinder / volume of other cylinder

= 22/7 × 3x × 3x × 6y / 22/7 × 4x × 4x × 5y

= 54/80

= 27/40

= 27:40 (ans)

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