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Question: 1 / 400

Which formula gives the volume of a right circular cylinder?

V = πr²h

The formula for the volume of a right circular cylinder is indeed expressed as V = πr²h. In this formula:

- V represents the volume of the cylinder.

- r stands for the radius of the circular base of the cylinder.

- h is the height of the cylinder.

This equation is derived from the fact that the volume of any solid shape can generally be calculated as the area of the base multiplied by the height. For a cylinder, the base is a circle, and the area of a circle is given by A = πr². By multiplying the area of the base (πr²) by the height (h) of the cylinder, we obtain V = πr²h, accurately representing the overall space contained within the cylindrical shape.

Other options do not correctly represent the volume of a right circular cylinder. For instance, 2πrh is related to calculating the lateral surface area of the cylinder, while r²h merely represents a generalized volume calculation without accounting for the circular base shape. Lastly, 4/3πr³ pertains to the formula for the volume of a sphere, indicating it is relevant to a different geometric shape entirely.

Get further explanation with Examzify DeepDiveBeta

V = 2πrh

V = r²h

V = 4/3πr³

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