Find the volume in terms of pi of a sphere with a surface area of 9 pi square feet?

Solution:

It is given that,

Sphere has a surface area of 9 pi square feet

Surface area = 4 pi r²

9 pi = 4 pi r²

r² = 9/4

r = 3/2

Volume of sphere = 4/3 pi r³

Substituting the values

V =(4/3) × (3/2)³ × pi

V = (4/3) × (27/8) × pi

V =(9/4) × pi.

So the volume of the sphere is V=(9/4) × pi cubic feet.

Therefore, the volume is (9/4) × pi cubic feet.

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Find the volume in terms of pi of a sphere with a surface area of 9 pi square feet?

Summary:

The volume in terms of pi of a sphere with a surface area of 9 pi square feet is (9/4) × pi cubic feet.