Question

two cylinders whose heights are in the ratio 1:2 have the same volume . what is the ratio of their base areas​
plss answer ...its urgent

Answer 1

Answer:

The ratio of their base areas is 2:1

Answer 2

A ratio displays the multiplicity of two numbers. the ratio of their base areas is 1:2.

Let the height of the smaller cylinder be h and the height of the larger cylinder be 2h. Let the radius of the smaller cylinder be r and the radius of the larger cylinder be R.

Since the volumes of the two cylinders are equal, we have:

π$r^2$h = π$R^2$(2h)

Simplifying this equation, we get:

$r^2$h = 2$R^2$h

Dividing both sides by h, we get:

$r^2$ = 2$R^2$

Taking the square root of both sides, we get:

r = R/√2

The ratio of their base areas is:

π$r^2$ / π$R^2$= $(r/R)^2$=$(1/\sqrt{2} )^2$ = 1/2

Therefore, the ratio of their base areas is 1:2.

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