Question

Need help with this​

Answer 1

• r = √(3V/(πh))
• r ≈ 1.78 cm

Explanation:

Multiply by the inverse of the coefficient of r², then take the square root.

`V=(1)/(3)\pi r^2h\\\\V=(\pi h)/(3)r^2\\\\r^2=(3V)/(\pi h)\\\\\boxed{r=\sqrt{(3V)/(\pi h)}}`

For V=50, h=15, this is ...

`{r=\sqrt{(3(50))/(\pi(15))}=\sqrt{(10)/(\pi)}\approx\boxed{1.78\quad\text{cm}}`