Mathematics: Does anyone know how much grain can this hold? am i looking for volume of a cylinder?

The unit rate is 16Step-by-step explanation:...

Does anyone know how much grain can this hold?

elijahproctor36

05.01.2022

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.

$\text{Volume of cylinder}=\pi r^2h$ , where

r = Radius of circle

h = Height

Upon looking at our given diagram, we can see that $r=4\text{ in}$ and $h=11\text{ in}$ .

Let us substitute these values in volume formula.

$\text{Volume of container}=\pi\cdot (4\text{ in})^2\cdot 11\text{ in}$

$\text{Volume of container}=\pi\cdot 16\text{ in}^2\cdot 11\text{ in}$

$\text{Volume of container}=\pi\cdot 176\text{ in}^3$

$\text{Volume of container}=176\pi\text{ in}^3$

Therefore, the container can hold $176\pi\text{ in}^3$ of grain and 1st option is the correct choice.

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