Question

Solve n =3sqrt(6V/7π) for V

Trigonometric Functions
ANSWERED
asked 2020-10-18
Solve \(\displaystyle{n}={3}\sqrt{{{6}\frac{{V}}{{7}}π}}\) for V

Answers (1)

2020-10-19
Raise both sides by 3:
\(\displaystyle{n}^{{3}}={\left({3}\sqrt{{{6}\frac{{V}}{{7}}π}}\right)}^{{3}}\)
\(\displaystyle{n}^{{3}}={6}\frac{{V}}{{7}}π\)
Multiply both sides by 7π: \(\displaystyle{7}π{n}^{{3}}={\left({6}\frac{{V}}{{7}}π\right)}{\left({7}π\right)}\)
\(\displaystyle{7}π{n}^{{3}}={6}{V}\)
Divide both sides by 6: \(\displaystyle{7}π\frac{{n}^{{3}}}{{6}}={6}\frac{{V}}{{6}}\)
\(\displaystyle{7}π\frac{{n}^{{3}}}{{6}}={V}\)
or
\(\displaystyle{V}={7}π\frac{{{n}^{{3}}}}{{6}}\)
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