Question 3Using your algebra skills, how can you rearrange the formula for the volume of a cone, V = } x #r2 h, to find an expression for radius r whenyou're given h and V? Remember to perform the same operations on both sides of the equation.

Respuesta :

We start from the equation of the volume of the cone:

[tex]V=\frac{1}{3}\pi r^2h[/tex]

We can re-arrange for r as:

[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ 3V=\pi r^2h \\ \frac{3V}{\pi h}=r^2 \\ r=\sqrt[]{\frac{3V}{\pi h}} \end{gathered}[/tex]