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

in Aviation Mathematics

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
 
Figure 1-28. Sphere.

Figure 1-28. Sphere.