Question

find the volume of this sphere. use 3.14 for π. 2.5 cm volume of a sphere v = 4/3 πr³ v = ? cm³ round your ans the nearest tenth.

Explanation:

Step1: Substitute the values 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: \( V=\frac{4}{3}\times3.14\times(2.5)^{3}\).

Step2: Calculate \( (2.5)^{3}\)

\((2.5)^{3}=2.5\times2.5\times2.5 = 15.625\). So the formula becomes \( V=\frac{4}{3}\times3.14\times15.625\).

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

First, \(3.14\times15.625 = 49.0625\). Then, \(\frac{4}{3}\times49.0625=\frac{196.25}{3}\approx65.4\).

Answer:

\(65.4\)