Question

Find the volume of a sphere whose radius is 2 cm.

Answer 1

Hint: In this problem, we need to use the formula for the volume of a sphere. Next, substitute the radius of the given sphere to calculate its volume. A sphere is formed due to rotation of a circle along its central axis.
The formula for the volume \[V\] of a sphere is shown below.
\[V = \dfrac{4}{3}\pi {r^3}\]

Complete step-by-step answer:
The formula for the volume \[V\] of a sphere is shown below.
\[V = \dfrac{4}{3}\pi {r^3}\]

Here, \[r\]is the radius of the sphere.
Now, the radius of the given sphere is 2 cm, therefore, substitute 2 for \[r\] in the above formula to obtain the volume of the sphere.
\[\begin{gathered}
  \,\,\,\,\,\,V = \dfrac{4}{3}\pi {\left( 2 \right)^3} \\
   \Rightarrow V = \dfrac{4}{3}\pi \left( 8 \right) \\
   \Rightarrow V = \dfrac{{32\pi }}{3} \\
   \Rightarrow V = \dfrac{{32\left( {3.14} \right)}}{3} \\
   \Rightarrow V = \dfrac{{100.48}}{3} \\
   \Rightarrow V = 33.49c{m^3} \\
\end{gathered}\]

Thus, the volume of the sphere is \[33.49c{m^3}\].

Note: A sphere is a three-dimensional geometry which forms due to the rotation of a circle along its longitudinal axis. The volume of the sphere shows the capacity of the sphere. The formula for the volume of cones having base radius r and height h is \[\dfrac{1}{3}\pi {r^2}h\].