Respuesta :

gmany
The formula of the volume of a cylinder:

[tex]V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base[/tex]

We have:

[tex]V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3[/tex]

and

[tex]H=20\ dm[/tex]

substitute:

[tex]\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2[/tex]

Answer: The area of a base of the cylinder is equal 45 dm².

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