157k views
3 votes
Solve the formula V=pir^2h for r

PLEAASSSEEE HELP

Solve the formula V=pir^2h for r PLEAASSSEEE HELP-example-1
User Pinaki
by
7.6k points

2 Answers

1 vote

Answer:

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)

User Christopher Poile
by
8.0k points
7 votes

Answer:

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.

User Francisco Souza
by
8.4k points

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