What is the volume of a sphere with a radius of 48 cm, expressed in terms of pi?

The volume of a sphere can be calculated using the formula:

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

In this formula, V represents the volume, \pi is a constant approximately equal to 3.14159, and r is the radius of the sphere.

Given the radius of the sphere is 48 cm, we can substitute r in the formula:

V = \frac{4}{3} \pi (48)^3

Now, let’s calculate (48)^3:

(48)^3 = 48 \times 48 \times 48 = 110592

Substituting this value back into the volume formula gives us:

V = \frac{4}{3} \pi \times 110592

Now, we can simplify:

V = \frac{442368}{3} \pi

Therefore, the volume of the sphere with a radius of 48 cm, expressed in terms of pi, is:

V = 147456 \pi \text{ cm}^3

In conclusion, the volume of the sphere is 147456π cm³.