Question

This question has multiple parts of it you can not do one with out the other

Answer 1

Part A:

Let:

V = Volume

r = Radius

h = Height = 20 ft

The volume of a cylinder is given by:

`\begin{gathered} V(r)=\pi r^2h \\ so\colon \\ V(r)=20\pi r^2 \end{gathered}`

Answer for part A:

`V=20\pi r^2`

Part B:

From the previous equation, solve for r:

Divide both sides by 20π:

`r^2=(V)/(20\pi)`

Take the square root of both sides:

`\sqrt[]{r^2}=\sqrt[]{(V)/(20\pi)}`

Answer for part B:

`r=\sqrt[]{(V)/(20\pi)}`

Part C:

Using the previous equation:

`r=\sqrt[]{(V)/(20\pi(3.14))}`

Graphing the function: