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If Shannon wants to fill a spherical balloon so that it has a circumference of 8π in, how much air will she need to use to fill the balloon?

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Samuelonum1idn

The Volume of air needed for a spherical balloon of radius 4 inch and circumference 8π is 85.3 cubic inch

Volume of Sphere

Given Data

  • Circumference = 8π

Let us find radius

circumference = 2πr

8π = 2πr

8 = 2r

r = 8/2

r = 4 inch

Let us find the volume of the sphere

Volume = 4/3πr^3

Volume = 4/3* π*4^3

Volume = 4/3*π64

Volume = 256π/3

Volume = 85.3 cubic inch

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