Question

the radius, r, of a sphere is 6.8 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

Given \( R = 6.8\) m and \( \pi=3.14\), substitute into the formula:
\( V=\frac{4}{3}\times3.14\times(6.8)^{3}\).
First, calculate \( (6.8)^{3}=6.8\times6.8\times6.8 = 314.432\).
Then, \( \frac{4}{3}\times3.14\times314.432=\frac{4\times3.14\times314.432}{3}\).
\(4\times3.14 = 12.56\), so \( \frac{12.56\times314.432}{3}\).
\(12.56\times314.432 = 3959.26592\).
Then \( V=\frac{3959.26592}{3}=1319.755307\).

Answer:

\(1319.8\)