First: 226.19 in³
Second: 176.71 in³
1) Considering that these containers are cylinders we can find the volume by using this formula:
[tex]\begin{gathered} V_{\text{cylinder}}=\pi\cdot r^2\cdot h \\ \end{gathered}[/tex]
2) Plugging the red one's data. Considering that 6, and 5 inches refer to the Diameter, then D=2r R= D/2 then the radi of those are
[tex]\begin{gathered} V_{\text{RED}}=\pi\cdot r^2\cdot h \\ V_{\operatorname{Re}d}=\pi\cdot(3)^2\cdot8 \\ V_{\text{red}}=72\pi\text{ }\approx226.19in^3 \\ \\ V_{\text{BLACK}}=\pi\cdot(\frac{5}{2})^2\cdot9 \\ V_{\text{BLACK}}=\frac{225}{4}\pi\text{ in³ }\approx176.71in^{^{3}} \end{gathered}[/tex]
3) Hence, the answer is The Volume of the First container is approximately 226.19 in ³ and the Second one is approximately 176.71 in³
