To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( V \) is the volume, \( \pi \) is approximately 3.14, and \( r \) is the radius of the sphere.
Given that the radius \( r \) is 20 units, substitute this value into the formula:
\[ V = \frac{4}{3} \times 3.14 \times (20)^3 \]
First, calculate \( (20)^3 \):
\[ (20)^3 = 20 \times 20 \times 20 = 8000 \]
Now substitute this back into the volume formula:
\[ V = \frac{4}{3} \times 3.14 \times 8000 \]
Calculate \( \frac{4}{3} \times 8000 \):
\[ \frac{4}{3} \times 8000 = \frac{32000}{3} \approx 10666.67 \]
Now multiply by \( 3.14 \):
\[ V \approx 10666.67 \times 3.14 \approx 33493.33 \]
Thus, the approximate volume of the sphere is:
\[ V \approx 33,493.33 \text{ cubic units} \]
The answer is \( \text{D. } 33,493.33 \text{ cubic units} \).
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