Question

1. The formula for the volume of a cone is

Answer 1

Answer:

3 v 3.14/h

Step-by-step explanation:

equation

Answer 2

Answer:

$r=\sqrt{\frac{3V}{\pi\ h}}$

Step-by-step explanation:

The volume of cone is given by:

$V=\frac{1}{3}\pi\ r^2\ h$

where $r$ is the radius of the base and $h$ is the height of the cone.

We need to solve for $r$

we have $V=\frac{1}{3}\ \pi\ r^2\ h$

Multiplying both sides by 3 to remove $\frac{1}{3}$

⇒ $3\times V=3\times \frac{1}{3}\ \pi\ r^2\ h$

⇒ $3V=\pi\ r^2\ h$

dividing both sides by $\pi\ h$

⇒ $\frac{3V}{\pi\ h}=\frac{\pi r^2 h}{\pi\ h}$

⇒ $\frac{3V}{\pi\ h}=r^2$

Taking square root both sides:

⇒ $\sqrt{\frac{3V}{\pi\ h}}=\sqrt{r^2}$

⇒ $\sqrt{\frac{3V}{\pi\ h}}=r$

∴ $r=\sqrt{\frac{3V}{\pi\ h}}$