Respuesta :

Answer:

The volume of the cylinder is equal to [tex]300\pi\ units^{3})[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

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

we have

[tex]r=5\ units[/tex]

[tex]h=12\ units[/tex]

substitute the values

[tex]V=\pi (5^{2})(12)=300\pi\ units^{3}[/tex]

The volume of the cylinder is 300π cubic units.

We have to determine

Which represents the volume of the cylinder, in cubic units?

What is the formula of volume of a cylinder?

The formula is used to find the volume of a cylinder is;

[tex]\rm Volume =\pi r^2h[/tex]

Where r is the radius of the cylinder and h is the height of the cylinder.

Here, the radius of the cylinder is 5 units, and the height of the cylinder is 12 units.

Substitute all the values in the formula;

[tex]\rm Volume =\pi r^2h\\\\\rm Volume =\pi \times (5)^2 \times 12\\\\Volume = 25 \times 12 \times \pi \\\\Volume = 300\pi[/tex]

Hence, the volume of the cylinder is 300π cubic units.

To know more about the Volume of the cylinder click the link given below.

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