Learn how to calculate the volume of a solid or hollow sphere using different formulas based on radius, diameter, or surface area. See the derivation of the formulas using integration, cylinder, and cone methods, and solve examples with diagrams. In this guide, we go through all the formulas for calculating the volume of a sphere , which is defined by its radius, diameter, or circumference, with detailed explanations and examples for each method. For calculations, Lateral ... Volume formulas are mathematical tools used to calculate the space inside 3D geometric shapes. Each shape, such as a cube, sphere , or cone, has its own specific formula for determining its volume . Volume Formulas Volume Formulas Table The following table contains a comprehensive list of all the volume formulas of different 3D shapes.