vperezvazquez182 vperezvazquez182
  • 28-04-2021
  • Mathematics
contestada

The volume of a cylinder is 980 in cubed.
The height of the cylinder is 20 in. What is the radius of the cylinder?
Express your answer to the nearest hundredth.​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 29-04-2021

9514 1404 393

Answer:

  3.95 in

Step-by-step explanation:

The volume is given by ...

  V = πr²h

Solving for radius, we get ...

  r = √(V/(πh))

For the given numbers, the radius is ...

  r = √(980 in³/(π·20 in)) = 7/√π in ≈ 3.95 in

The radius of the cylinder is about 3.95 inches.

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