michellecolon1984 michellecolon1984
  • 02-10-2020
  • Mathematics
contestada

need help with this​

need help with this class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 03-10-2020

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.

  [tex]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}}}[/tex]

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

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

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