How do you calculate the volume of a sphere with radius 4.5 cm?

To calculate the volume of a sphere with radius 4.5 cm, use the formula \( V = \frac{4}{3} \pi r^3 \).

The volume of a sphere is found using the formula \( V = \frac{4}{3} \pi r^3 \), where \( V \) represents the volume, \( \pi \) (pi) is approximately 3.14159, and \( r \) is the radius of the sphere. In this case, the radius \( r \) is 4.5 cm.

First, cube the radius: \( 4.5^3 \). This means multiplying 4.5 by itself three times:
\[ 4.5 \times 4.5 \times 4.5 = 91.125 \]

Next, multiply this result by \( \pi \):
\[ 91.125 \times \pi \approx 91.125 \times 3.14159 = 286.168 \]

Finally, multiply this result by \( \frac{4}{3} \):
\[ \frac{4}{3} \times 286.168 \approx 381.557 \]

So, the volume of the sphere is approximately 381.557 cubic centimetres (cm³). This method ensures you accurately calculate the volume by following the steps of cubing the radius, multiplying by \( \pi \), and then scaling by \( \frac{4}{3} \).