Respuesta :

Given:

There are given that the cylinder whose diameter is 24 mm and height is 5mm.

Explanation:

To find the volume of the given figure, we need to use the volume of the cylinder formula:

So,

From the formula of volume of a cylinder:

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

Where,

[tex]\begin{gathered} r=\frac{d}{2}=\frac{24}{2}=12 \\ h=5 \end{gathered}[/tex]

Then,

Put all the given values into the above formula:

So.

[tex]\begin{gathered} V=\pi r^{2}h \\ V=3.144\times\left(12\right)^2\times5 \\ V=3.144\times144\times5 \\ V=2263.7 \end{gathered}[/tex]

Final answer:

Hence, the volume of 2263.7 mm^3