Question

radius of two cylinder are in the ratio 2 ratio 3 and their height are in 5 ratio 3 calculate the ratio of their volume and the ratio of curved surface

Answer 1

Let 2x and 3x be the radii of the two cylinders
and their height be 5y and 3y respectively

now
C.S.A of first cylinder (a) = 2 × 22/7 × 2x × 5y
C.S.A of second cylinder (b) = 2 × 22/7 × 3x × 3y
ratio of them = a/b
= (2 × 22/7 × 2x × 5y)/(2 × 22/7 × 3x × 3y)
= 10xy / 9xy
= 10/9
therefore their C.S.A are in the ratio 10/9

please mark as BRAINliest answer

Answer 2

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.