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nasty-shy [4]
4 years ago
6

Need help with this​

Mathematics
1 answer:
blondinia [14]4 years ago
4 0

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}}

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