Question

a sphere has a radius of 7/4 mm . what is the volume of the sphere to the nearest cubic millimeter?

Answer 1

Answer:

22 cubic millimeters.

Explanation:

Given a sphere with radius, r:

$\text{Volume}=\frac{4}{3}\pi r^3$

If the sphere has a radius of 7/4 mm, then:

$\begin{gathered} V=\frac{4}{3}\times\frac{22}{7}\times\mleft(\frac{7}{4}\mright)^3 \\ =\frac{4}{3}\times\frac{22}{7}\times\frac{343}{64} \\ =22.46\operatorname{mm}^3 \\ \approx22\operatorname{mm}^3 \end{gathered}$

The volume of the sphere is 22 cubic millimeters (to the nearest cubic millimeter).