Question

The diameter, D, of a sphere is 19.4 mm. Calculate the spheres volume, V. Use the value 3.14 for n, and round your answer to the nearest tenth. ( do not round any intermediate computations.)

Answer 1

3821.1 mm³

Explanation:

We have that the formula to determine the volume of a sphere is the following:

`V=(4)/(3)\pi r^3`

W determine the radius, knowing that it is equal to half the diameter, then we substitute and calculate the volume, like this:

`\begin{gathered} r=(D)/(2)=(19.4)/(2) \\ \\ r=9.7\text{ mm} \\ \\ \text{ We replacing:} \\ \\ V=(4)/(3)\left(3.14\right)\left(9.7\right)^3 \\ \\ V=3821.1\text{ mm}^3 \end{gathered}`

The volume of the sphere is 3821.1 mm³