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The formula V = Bh, where B represents the area of the base, can be used to find the volume of a cylinder. Which formula is equivalent to V = Bh when finding the cylinder's volume?

A)
V = (l · w)


B)
V = (l · w · h)


C)
V = πr2h


D)
V = 2πr


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ANSWER

C) V=πr²h

EXPLANATION

The formula for calculating the volume of a prism is

[tex]V = Bh[/tex]

where B represents the area of the base and h represents the height of the prism.

A cylinder is a prism with a circular base.

Therefore area of the base is

[tex]B = \pi \: {r}^{2} [/tex]

Therefore the volume of the cylinder is

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

The correct choice is C.

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