Respuesta :
Answer
[tex]44.0ft^3[/tex]Explanation
The amount of water in each container shall be calculated using
the volume of a cylinder formula
Note The volume of a cylinder is given by the formula
[tex]V=\pi r^2h\text{ }[/tex]where r = radius of the cylinder and h = height of the cylinder
For the first cylinder,
diameter d =6 feet,this implies that
radius r = 6/2 = 3 feet
h = 6 feet.
Therefore the volume of the Container A is calculated as thus
[tex]\begin{gathered} V\text{ = 3.14 }\times3^{2\text{ }}\times6 \\ V\text{ = 3.14 }\times\text{ 9 }\times\text{ 6} \\ V=169.56ft^3 \end{gathered}[/tex]And the volume of the container B as thus
r =4/2 = 2 feet, h = 10 feet
[tex]\begin{gathered} V\text{ = 3.14 }\times2^2\text{ }\times\text{ 10} \\ V\text{ = 3.14 }\times4\text{ }\times\text{ 10} \\ V=125.6ft^3 \end{gathered}[/tex]After the pumping is complete, the volume of the empty space inside
Container A will be
[tex]\begin{gathered} \text{Volume of container A - Volume of container B} \\ 169.56\text{ - 125.6} \\ 44.0ft^3 \end{gathered}[/tex]