Question

What is the volume V of a sphere of radius r ?

Answer 1

Hint: The volume of sphere is the capacity that the sphere has. It defines the volume of a liquid or any matter that the sphere can hold. The shape of the sphere is round and three -dimensional. It has three axes such as x-axis, y-axis and z-axis which defines its shape. The sphere is a three dimensional model of a circle as it is circular in nature and has three axes.

Complete step by step solution:
The volume V of the sphere depends on the diameter or the radius of the sphere since if we take the cross-section of the sphere, it is a circle. So, the volume of the sphere depends upon the radius of the sphere and that’s why the formula of the volume of the sphere consists of the radius of the sphere as a parameter.
The formula of volume of sphere is $\dfrac{{4\pi r^3 }}{3}$ , where the radius of the sphere is r.
So, the correct answer is “$\dfrac{{4\pi r^3 }}{3}$ ”.

Note: The sphere is defined as the three-dimensional round solid figure in which every point on its surface is equidistant from its centre. The fixed distance is called the radius of the sphere and the fixed point is called the centre of the sphere. Thus, the three-dimensional shape sphere is obtained from the rotation of the two-dimensional object called a circle.