Question

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

Answer 1

Yes, you are looking for the volume of the cylinder.

Volume of the cylinder = πr²h

Volume of the cylinder = π x 4² x 11

Volume of the cylinder = 176π in³

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Answer: Volume = 176π³ (Answer A)
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Answer 2

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.