Math, asked by thegrear, 1 year ago

two right circular cylinders of equal heights have their radii in the ratio 2:5 . Find the ratio of their curved surface area and the ratio of their volumes.

Answers

Answered by rima17

sorry for the bad handwriting there
the formula of the area of curved surface is =2πrh and formula of volume of cylinder is =πr2h

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Answered by Anonymous

HEY THERE!

$\bf{\bold{Proper \: \: Question:-}}$

radii of two cylinder are in the ratio 2 : 3 and their height are in 5 : 3 .Calculate the ratio of their volume and the ratio of curved surface.

$\bf{\bold{Method \: \:Of \: \: Solution:-}}$

Let the radii be 2r, 3r of two Cylinder!

Let the height be 5h and 3h!

Then, Using Formula of Volume!

Volume = πr²h

Thus, According to the Question Statement!

Volume = πr²h /πr²h

Volume = π×(2r)² × (5h) / π ×(3r)² × 3h

Volume. = 4r²×5h/9r²×3h

Volume = 4×5 /9×3

•°• Volume = 20/27

Now, Find the Ratio of curved Surface!

Formula of Curved Surface = 2πrh

Substitute the Given value in Formula Equation!

In Ratio,Formula of Curved Surface = 2πrh/2πrh

Curved Surface= 2×π ×2r ×5h /2×π×3r×3h

Curved Surface = 2×5 /9

Curved Surface = 10/9

Therefore, the ratio of their volume and the ratio of curved surface respectively 20:27 and 10:9 respectively.

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