Question

need help with this​

Answer 1

Answer:

• r = √(3V/(πh))
• r ≈ 1.78 cm

Step-by-step explanation:

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

  $V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{\pi h}{3}r^2\\\\r^2=\dfrac{3V}{\pi h}\\\\\boxed{r=\sqrt{\dfrac{3V}{\pi h}}}$

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

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