Relating the Volumes of Rectangular and Conical Frustums

Abstract

The utility of diverse forms of knowledge is paramount for the development of any society and the continuation of its advancements. It is observed that children show increased interest in types of knowledge that they find to be applicable and relatable to their experiences. Building on an earlier presentation that discussed the volumes of various frustums, this paper delves into exploring the relationship between the volumes of Conic and Rectangular Frustums. Moreover, it demonstrates that it is feasible to estimate the volume of one frustum type based on the known volume of the other, provided certain conditions, as outlined by Olagunju (2011), are satisfied. This is accomplished through the application of validated formulas for calculating the volumes of Conical and Rectangular Frustums, V_CF=1/12 πh (D²+Dd+d²) and V_RF=h/∛5 (D²+Dd+d²) respectively, which were found to be related.