Question

find the volume of this sphere. use 3.14 for π. 4.5 m volume of a sphere v = \frac{4}{3}πr^{3} v = ? m^{3} round your answer to the nearest tenth

Explanation:

Step1: Substitute the radius into the formula

Given \(r = 4.5\)m and \(\pi=3.14\), the formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\).
Substitute \(r = 4.5\) into \(r^{3}\): \(r^{3}=(4.5)^{3}=4.5\times4.5\times4.5 = 91.125\).

Step2: Calculate the volume

\(V=\frac{4}{3}\times3.14\times91.125\).
First, calculate \(\frac{4}{3}\times91.125 = 121.5\).
Then, \(V = 121.5\times3.14=381.51\).

Answer:

\(381.5\) \(m^{3}\)