Question

A sphere has a diameter of 0.926 inch.
What is the volume of the sphere? Use 3.14 for p, and round to the nearest thousandth.

Answer 1

Answer:

The volume of the sphere is $V=0.416 \:in^3$.

Step-by-step explanation:

The volume enclosed by a sphere is given by the formula

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

Where r is the radius of the sphere.

The diameter of a sphere is twice as long as any radius of the same sphere and is given by the formula

                                                   $d=2r$

We know that the diameter of the sphere is 0.926 inch. The radius is

$\frac{0.926}{2}=0.463$

The volume of the sphere is

$V=\frac{4}{3}(3.14)(0.463)^3 \approx0.4155385$

and rounding to the nearest thousandth we get $V=0.416 \:in^3$.