To calculate \( v = \frac{4}{3} \pi r^3 \) using \( \pi \approx 3.14 \):
-
First, calculate \( \pi^3 \): \[ \pi^3 \approx (3.14)^3 = 3.14 \times 3.14 \times 3.14 \]
Calculating this step-by-step:
- \( 3.14 \times 3.14 = 9.8596 \)
- \( 9.8596 \times 3.14 \approx 30.973 \)
-
Now plug \( \pi^3 \) back into the formula: \[ v \approx \frac{4}{3} \times 30.973 \]
-
Calculate \( \frac{4}{3} \times 30.973 \): \[ \frac{4 \times 30.973}{3} \approx \frac{123.892}{3} \approx 41.2973 \]
Therefore, the approximate value of \( v \) is about 41.30.
If you were looking for the volume of a sphere with a specific radius, please let me know the radius so I can assist you further!