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The volume Vof a cylindrical can is represented by the formula V=πr2h, where h is the height and r is the radius. A cylindrical can has a volume of 1152π cubic centimeters and a height of 8 centimeters. What is the radius of the can?

Answer :

calculista

Answer:

The radius of the can is 12 cm

Step-by-step explanation:

we know that

The volume of a cylindrical can i equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]V=1,152\pi\ cm^3[/tex]

[tex]h=8\ cm[/tex]

substitute the given values in the formula

[tex]1,152\pi=\pi r^{2} (8)[/tex]

solve for r

simplify

[tex]1,152=r^{2} (8)[/tex]

[tex]r^2=144\\r=12\ cm[/tex]

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