To make \( r \) the subject of the formula \( v = TTr^2h \), follow these steps:
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Isolate \( r^2 \):
Start with the equation: \[ v = TTr^2h \]
Divide both sides by \( TT \) and \( h \): \[ \frac{v}{TTh} = r^2 \]
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Take the square root:
To solve for \( r \), take the square root of both sides: \[ r = \sqrt{\frac{v}{TTh}} \]
Thus, the final expression with \( r \) as the subject is: \[ r = \sqrt{\frac{v}{TTh}} \]