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labwork [276]
3 years ago
7

If

le="v = ({\pi \times r}^{2} )h " alt="v = ({\pi \times r}^{2} )h " align="absmiddle" class="latex-formula">
solve for
h
​
Mathematics
2 answers:
Free_Kalibri [48]3 years ago
4 0

Answer:

v/(pi r^2)=  h

Step-by-step explanation:

v= pi r^2 h

Divide each side by pi r^2

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

v/(pi r^2)=  h

ValentinkaMS [17]3 years ago
3 0

v=(\pi \cdot r^2)h\\\\h=\dfrac{v}{\pi\cdot r^2}

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\\ \\ =\frac { \cos { x }  }{ \sin { x }  } \left( \frac { \sin ^{ 2 }{ x }  }{ \cos ^{ 2 }{ x }  } -\frac { \sin ^{ 2 }{ x\cos ^{ 2 }{ x }  }  }{ \cos ^{ 2 }{ x }  }  \right) \\ \\ =\frac { \cos { x }  }{ \sin { x }  } \left( \frac { \sin ^{ 2 }{ x-\sin ^{ 2 }{ x\cos ^{ 2 }{ x }  }  }  }{ \cos ^{ 2 }{ x }  }  \right)

\\ \\ =\frac { \cos { x }  }{ \sin { x }  } \cdot \frac { \sin ^{ 2 }{ x\left( 1-\cos ^{ 2 }{ x }  \right)  }  }{ \cos ^{ 2 }{ x }  } \\ \\ =\frac { \cos { x }  }{ \sin { x }  } \cdot \frac { \sin ^{ 2 }{ x\cdot \sin ^{ 2 }{ x }  }  }{ \cos ^{ 2 }{ x }  } \\ \\ =\frac { \cos { x } \sin ^{ 4 }{ x }  }{ \sin { x\cos ^{ 2 }{ x }  }  } \\ \\ =\frac { \sin ^{ 3 }{ x }  }{ \cos { x }  }

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