Question

Find a volume of a sphere with a radius of 9 cm

Answer 1

To find the volume of a sphere, you can use the formula:

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

where \( V \) is the volume and \( r \) is the radius of the sphere.

Given that the radius \( r = 9 \) cm, you can substitute this value into the formula:

\[
V = \frac{4}{3} \pi (9)^3
\]

First, calculate \( 9^3 \):

\[
9^3 = 729
\]

Now substitute this back into the formula:

\[
V = \frac{4}{3} \pi (729)
\]

Now calculate:

\[
V = \frac{2916}{3} \pi
\]

\[
V = 972 \pi
\]

Now, you can approximate \( \pi \) as \( 3.14 \) to find a numerical value:

\[
V \approx 972 \times 3.14 \approx 3057.68 \text{ cm}^3
\]

Thus, the volume of the sphere is approximately:

\[
V \approx 3057.68 \text{ cm}^3
\]

If using a more accurate value for \( \pi \) (like \( 3.14159 \)), you would get:

\[
V \approx 972 \times 3.14159 \approx 3056.86 \text{ cm}^3
\]

However, the exact volume in terms of \( \pi \) is:

\[
V = 972 \pi \text{ cm}^3
\]