The volume of the cylinder is equal to the product of the height and the area of the base of the cylinder:
[tex]V=Bh[/tex]
Where
B is the area of the circular base
h is the height of the cylinder
To calculate the area of the circular base, you can apply the following formula:
[tex]B=\pi r^2[/tex]
Then you can calculate the volume as follows:
[tex]V=\pi r^2h[/tex]
The diameter of the circular base is 7.9mm, the radius is half the diameter, then:
[tex]\begin{gathered} r=\frac{d}{2} \\ r=\frac{7.9}{2} \\ r=3.95\operatorname{mm} \end{gathered}[/tex]
You have to calculate the volume in cubic centimeters, so you have to convert the units from millimeters to centimeters.
1 centimeter is equal to 10 millimeters, divide the radius by 10 to determine the equivalent value in centimeters:
[tex]\frac{3.95}{10}=0.395\operatorname{cm}[/tex]
The height of the cylinder is 18.8mm, to express this value in centimeters, you have to divide it by 10:
[tex]\frac{18.8}{10}=1.88\operatorname{cm}[/tex]
Once both dimensions are expressed in centimeters, you can calculate the volume of the cylinder:
[tex]\begin{gathered} V=\pi r^2h \\ V=3.14\cdot(0.395)^2\cdot1.88 \\ V=3.14\cdot0.156025\cdot1.88 \\ V=0.92104678 \\ V\approx0.9\operatorname{cm}^3 \end{gathered}[/tex]
The volume of the cylinder is equal to 0.9 cubic centimeters.
