The volume of a cylinder can be calculated by the product of the area of its base and its height.
[tex]V=A_b\cdot h[/tex]
We already have the height, bu t we need to calculate the area of the base.
The base is a circunference with diameter 10 ft. The radius of the circunference is half the diameter, so:
[tex]r=\frac{10}{2}=5[/tex]
The area of a circunference can be calculate using its radius:
[tex]\begin{gathered} A_b=\pi r^2 \\ A_b=\pi5^2 \\ A_b=25\pi \end{gathered}[/tex]
So, the volume is:
[tex]\begin{gathered} V=A_b\cdot h \\ V=25\pi\cdot7 \\ V=175\pi \end{gathered}[/tex]
Noiw, using the value of 3.14 to pi, we have:
[tex]\begin{gathered} V=175\pi \\ V=175\cdot3.14 \\ V=549.5 \end{gathered}[/tex]
So,
