We have been given a diagram of a container. We are asked to find the amount of grain that the given container can hold.
We can see that container is in shape of a cylinder, so we need to find the volume of the given container.
We will use volume of cylinder formula to solve our given problem.
[tex]\text{Volume of cylinder}=\pi r^2h[/tex], where
r = Radius of circle
h = Height
Upon looking at our given diagram, we can see that [tex]r=4\text{ in}[/tex] and [tex]h=11\text{ in}[/tex].
Let us substitute these values in volume formula.
[tex]\text{Volume of container}=\pi\cdot (4\text{ in})^2\cdot 11\text{ in}[/tex]
[tex]\text{Volume of container}=\pi\cdot 16\text{ in}^2\cdot 11\text{ in}[/tex]
[tex]\text{Volume of container}=\pi\cdot 176\text{ in}^3[/tex]
[tex]\text{Volume of container}=176\pi\text{ in}^3[/tex]
Therefore, the container can hold [tex]176\pi\text{ in}^3[/tex] of grain and 1st option is the correct choice.
