Question

find the volume of this sphere. use 3.14 for π. volume of a sphere v = \frac{4}{3}πr^{3} v = ? cm^{3}

Explanation:

Step1: Substitute the radius into the formula

Given the formula for the volume of a sphere \( V=\frac{4}{3}\pi r^{3}\), and \(r = 6\) cm, \(\pi=3.14\).
Substitute \(r\) into the formula: \(V=\frac{4}{3}\times3.14\times6^{3}\).

Step2: Calculate \(6^{3}\)

\(6^{3}=6\times6\times6 = 216\). So the formula becomes \(V=\frac{4}{3}\times3.14\times216\).

Step3: Calculate \(\frac{4}{3}\times216\)

\(\frac{4}{3}\times216=4\times72 = 288\). Now the formula is \(V = 3.14\times288\).

Step4: Calculate the final volume

\(3.14\times288=904.32\).

Answer:

\(904.32\)