Question

find the volume of this sphere. use 3.14 for π. 2.5 cm volume of a sphere ( v=\frac{4}{3}pi r^{3} )

Explanation:

Step1: Substitute the radius into the formula

The formula for the volume of a sphere is \(V = \frac{4}{3}\pi r^{3}\). Given \(r = 2.5\) cm and \(\pi=3.14\), we substitute these values into the formula: \(V=\frac{4}{3}\times3.14\times(2.5)^{3}\).

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

First, calculate \(r^{3}\): \((2.5)^{3}=2.5\times2.5\times2.5 = 15.625\).

Step3: Multiply \(\frac{4}{3}\times3.14\times15.625\)

\(\frac{4}{3}\times3.14\times15.625=\frac{4\times3.14\times15.625}{3}\).
\(4\times3.14 = 12.56\), then \(12.56\times15.625=196.25\).
So \(\frac{196.25}{3}\approx65.42\) (rounded to two decimal places).

Answer:

The volume of the sphere is approximately \(65.42\) \(cm^{3}\).