Question

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

Explanation:

Step1: Substitute the radius into the formula

Given \(r = 4\) cm and \(\pi=3.14\), substitute into \(V=\frac{4}{3}\pi r^{3}\).
\(V=\frac{4}{3}\times3.14\times4^{3}\)

Step2: Calculate \(4^{3}\)

\(4^{3}=4\times4\times4 = 64\)
So \(V=\frac{4}{3}\times3.14\times64\)

Step3: Calculate \(\frac{4}{3}\times64\)

\(\frac{4}{3}\times64=\frac{256}{3}\)
Then \(V = 3.14\times\frac{256}{3}\)

Step4: Multiply \(3.14\) and \(\frac{256}{3}\)

\(3.14\times\frac{256}{3}=\frac{3.14\times256}{3}=\frac{803.84}{3}\approx267.95\) (rounded to two decimal places)

Answer:

The volume of the sphere is approximately \(267.95\) \(cm^{3}\)