the formulam of the volume is
[tex]V=\frac{\pi\times r^2\times h}{3}[/tex]
where r is the radius and h the height
r=3/5 because is the half of diameter
h=10
so replacing
[tex]\begin{gathered} V=\frac{\pi\times(\frac{3}{5})^2\times10}{3} \\ \\ V=\frac{\pi\times\frac{9}{25}\times10}{3} \\ \\ V=\frac{6}{5}\pi\approx3.78 \end{gathered}[/tex]
the volume of the cone is 3.78 square millimeters
[tex]\frac{\frac{9}{25}\times10}{3}=\frac{\frac{90}{25}}{\frac{3}{1}}[/tex]
the red multiplication is the numerator and green the denomintor
[tex]\frac{90\times1}{25\times3}=\frac{90}{75}[/tex]
simplify by 15
[tex]\frac{\frac{90}{15}}{\frac{75}{15}}=\frac{6}{5}[/tex]
and then add the pi
