Question

Do 9 and 10 keep it 9th grade if you can Question 9-10

Answer 1

Given the formula for the volume of a cylinder:

`V=\pi r^2h`

You know that "r" is the radius of the cylinder and "h" is the height.

a. In order to solve the formula for "h", you can divide both sides of the formula by:

`\pi r^2`

As follows:

`(V)/(\pi r^2)=(\pi r^2h)/(\pi r^2)`
`h=(V)/(\pi r^2)`

b. Having a cylindrical swimming pool, you know that:

`\begin{gathered} r=12\text{ }ft \\ V=1810\text{ }ft^3 \end{gathered}`

And, for this case:

`\pi\approx3.14`

Therefore, you can substitute values into the formula for the height of a cylinder found in Part "a" and evaluate:

`(V)/(\pi r^2)=(\pi r^2h)/(\pi r^2)`
`h=\frac{1810\text{ }ft^3}{(3.14)(12\text{ }ft)^2}`
`h=\frac{1810\text{ }ft^3}{452.16\text{ }ft^2}`
`h\approx4\text{ }ft`

Hence, the answers are:

a.

`h=(V)/(\pi r^2)`

b.

`h\approx4\text{ }ft`