How do you solve for r in $V=πr^2h$ ?

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Answer 1 · 2017-02-10T20:00:20

$r=sqrt(V/(pih))$

Step 1. Divide both sides by $pi$

$V/pi=(cancel(pi)r^2h)/cancel(pi)=r^2h$

Step 2. Divide both sides by $h$

$V/(pih)=(r^2cancel(h))/cancel(h)=r^2$

Step 3. Take $+-sqrt()$ both sides

$+-sqrt(V/(pih))=r$

Step 4. Radius, $r$ , is not a negative value, so just keep the positive

$r=sqrt(V/(pih))$

How do you solve for r in V=πr^2hV=πr^2h?