Respuesta :
Answer:
The formula for h is [tex]h=\frac{3V}{\pi r^2}[/tex]
Step-by-step explanation:
Given : The formula for the volume of a cone, [tex]V=\frac{1}{3} \pi r^2h[/tex]
To find : Solve the formula for the volume of a cone for the height of the cone, h ?
Solution :
The formula for the volume of a cone, [tex]V=\frac{1}{3} \pi r^2h[/tex]
[tex]V=\frac{1}{3} \pi r^2h[/tex]
To solve for h,
Multiply both side 3,
[tex]3V=\pi r^2h[/tex]
Divide both side by [tex]\pi r^2[/tex]
[tex]\frac{3V}{\pi r^2}=\frac{\pi r^2h}{\pi r^2}[/tex]
[tex]\frac{3V}{\pi r^2}=h[/tex]
Therefore, The formula for h is [tex]h=\frac{3V}{\pi r^2}[/tex]
