Question

If the ratio of radii of two cylinder is 2:1 and the ratio of their height is 1:2, then the ratio of their height is 1:2, then ratio of their volumes is 2:1 (True/False)

Answer 1

Answer:

Let the common factor for the base radii be x and the common factor for the heights be y.

Therefore,

r1 = 2x.

r2 = 3x

h1 = 5y

h2 = 3y

Volume of cylinder = pi * (r^2) * h

Therfore,

Ratio of their volumes =

(pi * (r1^2) * h1)/(pi * (r2^2) * h2)

(((2x)^2) * 5y)/(((3x)^2) * 3y)

(4 * (x^2) * 5y)/(9 * (x^2) * 3y)

(20 * (x^2) * y)/(27 * (x^2) * y)

20/27

OR

20:27

Step-by-step explanation:

So true is your answer

Answer 2

Answer:

Step-by-step explanation:

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