Computing Volume of Three-Dimensional Solids (Part Four) Sphere

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A solid having the shape of a ball is called a sphere. [Figure 1-28] A sphere has a constant diameter. The radius (r) of a sphere is one-half of the diameter (D). The formula for the volume of a sphere is given as:

V = 4⁄3 × π × radius³ = 4⁄3 × π × r³ or V = 1⁄6 × πD³

Example: A pressure tank inside the fuselage of a cargo aircraft is in the shape of a sphere with a diameter of 34 inches. What is the volume of the pressure tank?

V = 4⁄3 × π × radius³ = 4⁄3 × (3.1416) × (34⁄2)³

= 1.33 × 3.1416 × 17³ = 1.33 × 3.1416 × 4913

V = 20,528.125 cubic inches

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