What is the shape of the solid object whose volume can be determined by cubing the radius, multiplying by pi, and then multiplying by four-thirds?

The volume of a solid object can be determined using the formula (\frac{4}{3} \pi r^3), where (r) is the radius of the object. This formula specifically refers to the volume of a sphere.

To break it down further, cubing the radius (which gives (r^3)) and then multiplying by (\pi) and (\frac{4}{3}) is the mathematical representation for calculating the space contained within a sphere. This is derived from integral calculus and the properties of three-dimensional geometry where the dimensions are all uniformly measured from the center outwards.

Other shapes, like the cube, cylinder, and pyramid, each have their own distinct volume formulas that do not involve the multiplication of the radius cubed by (\pi) and (\frac{4}{3}). For instance, a cube's volume is calculated by (s^3), where (s) is a side length, and a cylinder's volume is found using (\pi r^2 h) with radius (r) and height (h). Therefore, the formula provided narrows it down specifically to a sphere, validating that the correct answer is indeed