Question

A sphere has a radius of 4 in. Which equation finds the volume of the sphere?
V = four-thirds pi (4) cubed
V = four-thirds (4) cubed
V = two-thirds (8) cubed
V = two-thirds pi (8) cubed

Answer 1

The volume \( V \) of a sphere can be calculated using the formula:

\[
V = \frac{4}{3} \pi r^3
\]

where \( r \) is the radius of the sphere. Given that the radius of the sphere is 4 inches, we substitute \( r \) with 4 in the formula:

\[
V = \frac{4}{3} \pi (4)^3
\]

Now, let's evaluate \( (4)^3 \):

\[
(4)^3 = 64
\]

So the equation for the volume becomes:

\[
V = \frac{4}{3} \pi (64)
\]

This means the correct equation for the volume of the sphere is:

\[
V = \frac{4}{3} \pi (4)^3
\]

Among the provided choices, the correct one is:

**V = four-thirds pi (4) cubed**.