Question

find the volume of this sphere. sphere formulas sa = 4πr² v = 4/3 πr³ v = ?π/3 ft³

Explanation:

Step1: Substitute the radius into the formula

Given \( r = 4\) ft, the volume formula for a sphere is \( V=\frac{4}{3}\pi r^{3}\). Substitute \( r = 4\) into \( r^{3}\), we get \(4^{3}=4\times4\times4 = 64\).

Step2: Calculate the numerator

Multiply the coefficient \(4\) (from \(\frac{4}{3}\)) with \(r^{3}=64\). So \(4\times64 = 256\).

Answer:

\(\frac{256}{3}\pi\) ft³