Question

note: figure is not drawn to scale
if the sphere shown above has a radius of 5 units, then what is the approximate volume of the sphere?
a. 654.17 cubic units
b. 314 cubic units
c. 523.33 cubic units
d. 261.67 cubic units

Explanation:

Step1: Recall sphere volume formula

The volume \( V \) of a sphere is \( V = \frac{4}{3}\pi r^3 \).

Step2: Substitute radius \( r=5 \)

\( V = \frac{4}{3}\pi (5)^3 = \frac{4}{3}\pi \times 125 = \frac{500}{3}\pi \)

Step3: Calculate approximate value

Using \( \pi \approx 3.14 \), \( V \approx \frac{500}{3} \times 3.14 \approx 523.33 \) cubic units.

Answer:

C. 523.33 cubic units