Question

What is the volume of a sphere with a radius of 5.5 kilometers?

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 is 5.5 kilometers, we can substitute this value into the formula:

\[
V = \frac{4}{3} \pi (5.5)^3
\]

First, calculate \( (5.5)^3 \):

\[
(5.5)^3 = 5.5 \times 5.5 \times 5.5 = 166.375
\]

Now substitute this back into the volume formula:

\[
V = \frac{4}{3} \pi (166.375)
\]

Now calculate \( \frac{4}{3} \times 166.375 \):

\[
\frac{4 \times 166.375}{3} = \frac{665.5}{3} \approx 221.8333
\]

Now multiply by \( \pi \) (approximately 3.14159):

\[
V \approx 221.8333 \times 3.14159 \approx 696.606
\]

So, the volume of the sphere is approximately:

\[
V \approx 696.606 \, \text{cubic kilometers}
\]

Thus, the volume of the sphere with a radius of 5.5 kilometers is approximately \( 696.61 \, \text{km}^3 \).