What are the solutions to the equation 800=pir^22r ?

The solutions to the equation 800=pir^22r are

800=pir^22r

800 = π r^{2} 2 r

r = \frac{2 3 50}{3 π}, r = - 3 \frac{50}{π} + i \frac{3 50 3 π ^{\frac{2}{3}}}{π}, r = - 3 \frac{50}{π} - i \frac{3 50 3 π ^{\frac{2}{3}}}{π}

Solution steps

800 = π r^{2} \cdot 2 r

Switch sides

π r^{2} \cdot 2 r = 800

Simplify

2 π r^{3} = 800

Divide both sides by

2 π

\frac{2 π r ^{3}}{2 π} = \frac{800}{2 π}

r^{3} = \frac{400}{π}

For

x^{3} = f (a)

the solutions are

x = 3 f (a), 3 f (a) \frac{- 1 - 3 i}{2}, 3 f (a) \frac{- 1 + 3 i}{2}

r = 3 \frac{400}{π}, r = 3 \frac{400}{π} \frac{- 1 + 3 i}{2}, r = 3 \frac{400}{π} \frac{- 1 - 3 i}{2}

3 \frac{400}{π} = \frac{2 3 50}{3 π}

Simplify

3 \frac{400}{π} \frac{- 1 + 3 i}{2} : - 3 \frac{50}{π} + i \frac{3 50 3 π ^{\frac{2}{3}}}{π}

Simplify

3 \frac{400}{π} \frac{- 1 - 3 i}{2} : - 3 \frac{50}{π} - i \frac{3 50 3 π ^{\frac{2}{3}}}{π}

r = \frac{2 3 50}{3 π}, r = - 3 \frac{50}{π} + i \frac{3 50 3 π ^{\frac{2}{3}}}{π}, r = - 3 \frac{50}{π} - i \frac{3 50 3 π ^{\frac{2}{3}}}{π}

315 = 5 x^{3}

x^{3} - 8 x - 1 = 0

(x^{2} - 3)^{2} = 0

(x - 1) (x^{2} + 2) = x (x + 5)

x^{3} - x^{2} = \frac{75}{8}

What are the solutions to the equation 800=pir^22r ?
The solutions to the equation 800=pir^22r are
Find the zeros of 800=pir^22r
The zeros of 800=pir^22r are