BioMedical Admissions Test (BMAT) Practice Test 2025 - Free BMAT Practice Questions and Study Guide

The formula to calculate the volume of a sphere is indeed 4/3πr³. This formula arises from integral calculus and the geometric properties of a sphere. The volume is determined by considering how much space the sphere occupies, which requires the radius (r) to be cubed.

To break it down, the sphere can be visualized as a collection of an infinite number of infinitesimally thin circular disks stacked on top of one another. The radius of each disk changes depending on its position along the radius of the sphere, and integrating these volumes leads to the formula. The factor of 4/3 accounts for the distribution of this volume in three dimensions, as spheres are not flat but rather occupy volume in a way that involves cubic scaling with radius.

Using the correct formula allows accurate calculation of the volume for any given radius, which is essential in various fields such as physics, engineering, and medicine, where understanding spatial volumes can influence design and application.