Question

The formula for the volume of a cylinder is V = πr2h. The volume of a cylinder is three times the volume of a cone with the same radius and height. If the volume of a cone with the same height as a cylinder equals the volume of the cylinder, the equation for the radius of cone R in terms of the radius of cylinder r is

Answer 1

Answer:

A on egde

Step-by-step explanation:

Answer 2

Since both objects are assumed to have the same volume, matching the formulas we'll get:

π$r^{2}$h = $\frac{1}{3}$π$R^{2}$h

Having both π and h at both sides of the equation, we can ignore them, so:

$r^{2}$ = $\frac{1}{3}$$R^{2}$

And clearing R, according to the equation rules, we'll get:

$\sqrt[2]{3 r^{2} }$ = R