Question

the radius, r, of a sphere is 9.4 m. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate computations.)

Explanation:

Step1: Write the formula for the volume of a sphere

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

Step2: Substitute the given values into the formula

Given \( R = 9.4\) m and \( \pi=3.14\), we substitute these into the formula:
\( V=\frac{4}{3}\times3.14\times(9.4)^{3}\).
First, calculate \( (9.4)^{3}=9.4\times9.4\times9.4 = 830.584\).
Then, \( \frac{4}{3}\times3.14\times830.584=\frac{4\times3.14\times830.584}{3}\).
\(4\times3.14 = 12.56\), so we have \( \frac{12.56\times830.584}{3}\).
\(12.56\times830.584 = 10432.13504\).
Now, \( V=\frac{10432.13504}{3}\approx3477.4\).

Answer:

\(3477.4\)