alexraygolden alexraygolden
  • 12-05-2020
  • Mathematics
contestada

The volume of a cylinder is 980pi in ^3 The height of the cylinder is 20 in. What is the radius of the cylinder?

Respuesta :

danilobabaglio
danilobabaglio danilobabaglio
  • 13-05-2020

Answer:

The radius of the cylinder is 7 in

Step-by-step explanation:

To calculate the radius of a cylinder we have to use the following formula:

v = volume  = 980π in³

h = height = 20in

π = pi

r = radius

v = (π * r²) * h

we replace with the known values

980π in³  = (π * (r)²) * 20in

980π in³ / 20in = π * (r)²

49 in² = (r)²

√(49 in²) = r

7 in = r

The radius of the cylinder is 7 in

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