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=(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=(D)/(2)`

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

`\begin{gathered} V=(4)/(3)\cdot\pi\cdot r^3 \\ V=(4)/(3)\cdot\pi\cdot((D)/(2))^3 \\ V=(4)/(3)\cdot3.14\cdot((2)/(2))^3 \\ V=(4)/(3)\cdot3.14\cdot(1)^3 \\ V=(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.