kylan3211 kylan3211
  • 19-06-2017
  • Mathematics
contestada

Find the volume of a sphere that has a surface area of 16π sq. in.

Respuesta :

wolf1728
wolf1728 wolf1728
  • 19-06-2017
Sphere Surface Area = 4 • π • r²

radius = Sq Root (
Sphere Surface Area / 4 • π)

radius = Sq Root (16 PI / 4 • π)

radius = Sq Root (4)

radius = 2


Sphere Volume   =   4/3 • π • r³

Sphere Volume   =   4/3 • π • 8

Sphere Volume   =   4.1887902048 * 8

Sphere Volume   =   33.51 cubic inches


Answer Link
budwilkins
budwilkins budwilkins
  • 19-06-2017
SAc = 1/3×pi×r^2
Vc = 4/3×pi×r^3
1/3×pi×r^2 = 16pi
1/3×r^2 = 16
1/3×3×r^2 = 16×3--> r^2 = 48
r = 4sr3
Vc = 4/3×pi×r^3 = 4/3×pi×(4sr3)^3
Vc = 55.43pi cubic in.
Answer Link

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