Question

Hello I could really use help with this problem please!

Answer 1

C

`A=2\pi\text{ square units; }h=2\text{ units}`

Step-by-step explanation:

Given:

Volume of a cylinder (V) = 4pi cubic units

To find:

Base area(A) and height(h)

Recall that the volume of a cylinder(A) is usually given as;

`\begin{gathered} V=A*h \\ \end{gathered}`

So let's go ahead and try each of the options and see which gives us 4pi on the left-hand side as we have on the right-hand side for Volume.

For option A;

We have that A = 1 and h = 2, so we'll have;

`\begin{gathered} V=A*h \\ 4\pi=1*2 \\ 4\pi\\e2 \end{gathered}`

For option B;

We have A = 2pi and h = 1, so we'll have;

`\begin{gathered} 4\pi=2\pi *1 \\ 4\pi\\e2\pi \end{gathered}`

For option C;

We have A = 2pi and h = 2, so we'll have;

`\begin{gathered} 4\pi=2\pi *2 \\ 4\pi=4\pi \end{gathered}`

We can see from the above that option C is the right option.