Question

Solve the formula V=pir^2h for r

PLEAASSSEEE HELP

Answer 1

B.
`r=\sqrt{(v)/(\pi h)`

Explanation:

We are given the formula:

`V=\pi r^2 h`

and asked to solve for
`r`. Therefore, we must isolate
`r` on one side of the equation.

`\pi` and
`h` are both being multiplied by r². The inverse of multiplication is division. Divide both sides of the equation by
`\pi h`.

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

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

r is being squared. The inverse of a square is a square root. Take the square root of both sides of the equation.

`\sqrt{(v)/(\pi h)} =√(r^2)`

`\sqrt{(v)/(\pi h)}=r`

`r=\sqrt{(v)/(\pi h)`

Therefore, the correct answer is B.
`r=\sqrt{(v)/(\pi h)`

Answer 2

B

Explanation:

We have the equation:

`V=\pi r^2h`

And we want to solve it for r.

We can first divide both sides by π and h. This will cancel out the right-hand side:

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

Now, we can take the principal square root of both sides. Hence:

`\displaystyle r=\sqrt{(V)/(\pi h)}`

And we're done!

Thus, our answer is B.