What is the approximate volume of the sphere?

To calculate the approximate volume of a sphere, you need to use the volume formula for spheres, which is:

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

Here, \( V \) is the volume, \( \pi \) (Pi) is a constant approximately equal to 3.14159, and \( r \) is the radius of the sphere.

Here's a step-by-step guide to calculate the approximate volume of a sphere:

1. Obtain the radius of the sphere. If you're given the diameter, remember that the radius is half of the diameter. 2. Cube the radius. That means multiplying the radius by itself three times (\( r \times r \times r \) or \( r^3 \)). 3. Multiply the cubed radius by Pi (\( \pi \)). It's often sufficient to use 3.14 as an approximation for \( \pi \) in school settings, unless a more precise value is given or required. 4. Multiply the result by \(\frac{4}{3}\) to get the volume. 5. The result you get after completing these steps is the approximate volume of the sphere in cubic units, with the units being the same as those used for the radius measurement.

As an example, if the radius of a sphere is 3 units, then:

\( V = \frac{4}{3} \pi (3)^3 \) \( V = \frac{4}{3} \pi \times 27 \) \( V ≈ \frac{4}{3} \times 3.14 \times 27 \) \( V ≈ 4 \times 3.14 \times 9 \) \( V ≈ 113.04 \) [Since \( \frac{4}{3} \times 27 = 36 \)]

So, the approximate volume of the sphere with a radius of 3 units is 113.04 cubic units