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

1 answer

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:

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