Question

Which point on the number line represents the volume of a sphere with a radius of 3 units? Use 3.14 for I.50100150200250300350ResetNext

Answer 1

Explanation

The formula to find the volume of a sphere is:

$\begin{gathered} V=\frac{4}{3}\pi r^3 \\ \text{ Where r is the radius of the sphere} \end{gathered}$

In this case, we have:

$\begin{gathered} r=3 \\ \pi\approx3.14 \\ \text{ The symbol }\approx\text{ is read 'approximately'.} \end{gathered}$$\begin{gathered} V=\frac{4}{3}\pi r^{3} \\ V\approx\frac{4}{3}(3.14)(3)^3 \\ V\approx\frac{4}{3}(3.14)(27) \\ V\approx113.04 \end{gathered}$

Thus, the volume of the sphere is approximately 113.04 cubic units.

Answer

The point on the number line that represents the volume of the given sphere is the one close to 100.