Question

What is the volume of this sphere? Use = 3.14 and round your answer to the nearest hundredth. cubic inches

Answer 1

We are asked to find the volume of the given sphere.

Recall that the volume of a sphere is given by

$V=\frac{4}{3}\cdot\pi\cdot r^3$

Where π is a constant and r is the radius of the sphere.

Also, recall that the radius is half of the diameter.

$r=\frac{D}{2}$

For the given problem, the diameter of the sphere is 2 in

$\begin{gathered} V=\frac{4}{3}\cdot\pi\cdot r^3 \\ V=\frac{4}{3}\cdot\pi\cdot(\frac{D}{2})^3 \\ V=\frac{4}{3}\cdot3.14\cdot(\frac{2}{2})^3 \\ V=\frac{4}{3}\cdot3.14\cdot(1)^3 \\ V=\frac{4}{3}\cdot3.14\cdot1 \\ V=4.1867 \\ V=4.19\: in^3\quad (\text{rounded to nearest hundredth)} \end{gathered}$

Therefore, the volume of the given sphere is 4.19 cubic inches.