Respuesta :

The volume of the cylinder is

[tex]V=\pi\times r^2\times h[/tex]

Where:

r is the radius of the base of the cylinder

h is the height of the cylinder

Since the cylinder is 8 inches tall, then

h = 8 inches

Since it is 4 inches across the lid, then

The diameter of the base is 4 inches

Divide it by to get the radius of it, then

r = 2 inches

Now, substitute them in the rule above

[tex]\begin{gathered} V=\pi\times2^2\times8 \\ V=\pi\times4\times8 \\ V=32\pi in^3 \end{gathered}[/tex]

We can use pi = 3.14, then

[tex]V=100.48in^3[/tex]

The volume of the soup is 100.48 inches^3