Tornafish
Tornafish Tornafish
  • 21-06-2017
  • Mathematics
contestada

the volume of a cylinder is 375π cm3. The height is 15 cm. What is the radius of the cylinder?

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nicolina
nicolina nicolina
  • 21-06-2017
V=375π cm3
H=15 cm
--------------------
r=?

To find the radius, we need to know the formula for the volume of the cylinder:

V=B*H
(B - base, H - height of the cylinder)

Formula for the base of the cylinder:
B=r^2π

Replace the base(B) in V=B*H with its formula:
V=r^2π*H

Now we can calculate the r:
r^2=V/H*π
r=√(V/H*π)
r=√(375π cm3/15π cm)
r=√(25 cm2)
r=5 cm
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