Question

the radius, r, of a sphere is 9.2 mm. 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 \( R = 9.2\) mm and \( \pi=3.14\), substitute into the formula:
\( V=\frac{4}{3}\times3.14\times(9.2)^{3}\)
First, calculate \( (9.2)^{3}=9.2\times9.2\times9.2 = 778.688\)
Then, \( \frac{4}{3}\times3.14\times778.688=\frac{4\times3.14\times778.688}{3}\)
\(4\times3.14 = 12.56\)
\(12.56\times778.688=9780.32128\)
\(V=\frac{9780.32128}{3}=3260.107093\cdots\)

Step3: Round to the nearest tenth

Rounding \(3260.107093\cdots\) to the nearest tenth gives \(3260.1\)

Answer:

\(3260.1\)