Question

question
what is the volume of a sphere with a radius of 2.9 m, rounded to the nearest tenth of a cubic meter?
answer attempt 2 out of 2

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume of a sphere is \(V=\frac{4}{3}\pi r^{3}\), where \(r\) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \(r = 2.9\) m. First, calculate \(r^{3}\): \(r^{3}=(2.9)^{3}=2.9\times2.9\times2.9 = 24.389\).
Then, find \(\frac{4}{3}\pi r^{3}\): \(V=\frac{4}{3}\times\pi\times24.389\).
\(\frac{4}{3}\times24.389 = 32.51866\cdots\).
So \(V = 32.51866\cdots\times\pi\). Using \(\pi\approx3.14159\), we get \(V\approx32.51866\times3.14159\approx102.2\).

Answer:

\(102.2\) cubic meters