If the sphere shown above has a radius of 18 units, then what is the approximate volume of the sphere? (Use 3.14 for .)

Question

A.
12,208.32 cubic units
B.
508.68 cubic units
C.
30,520.8 cubic units
D.
24,416.64 cubic units

Answer 1

To find the volume \( V \) of a sphere, you can use the formula:

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

where \( r \) is the radius of the sphere and \( \pi \) is approximately \( 3.14 \).

Given that the radius \( r = 18 \) units, we can substitute this value into the formula:

1. First, calculate \( r^3 \): \[ r^3 = 18^3 = 18 \times 18 \times 18 = 5832 \]

2. Now, substitute \( r^3 \) into the volume formula: \[ V = \frac{4}{3} \times 3.14 \times 5832 \]

3. Calculate \( \frac{4}{3} \times 3.14 \): \[ \frac{4}{3} \times 3.14 \approx 4.188 \]

4. Now, multiply this by \( 5832 \): \[ V \approx 4.188 \times 5832 \approx 24,416.64 \]

Thus, the approximate volume of the sphere is \( 24,416.64 \) cubic units.

The correct answer is: D. 24,416.64 cubic units