Without doing any calculations, do you think Cylinder 1 and Cylinder 2 will have the same volume?
No, because the radius are different. In the first cylinder the radius is 4cm and 7cm in the second one.
The volume V of a cylinder is given by
[tex]V=\pi r^2h[/tex]
where Pi is 3.1416, r is the radius and h is the height.
Then, the volume of cylinder 1 is
[tex]V_1=(3.1416)(4^2)(7)cm^3[/tex]
which gives
[tex]V_1=351.9cm^3[/tex]
Now, the volume of cylinder 2 is
[tex]V_2=(3.1416)(7^2)(4)[/tex]
which gives
[tex]V_1=615.8cm^3[/tex]
Therefore, the answer are
[tex]\begin{gathered} \text{cylinder 1, }V_1=351.9cm^3 \\ \text{cylinder 2, }V_2=615.8cm^3 \end{gathered}[/tex]
