Question

the radius, r, of a sphere is 8.4 cm. 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.)
v = □ cm³

Explanation:

Step1: Write the formula for the volume of a sphere

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

Step2: Substitute the given values

Given \( R = 8.4\) cm and \( \pi=3.14 \).
First, calculate \( R^{3}=(8.4)^{3}=8.4\times8.4\times8.4 = 592.704 \).
Then, \( \frac{4}{3}\times3.14\times592.704 \).
\( \frac{4\times3.14\times592.704}{3}=\frac{7446.97536}{3} \).

Step3: Calculate the final value

\( \frac{7446.97536}{3}=2482.32512\approx2482.3 \) (rounded to the nearest tenth).

Answer:

\(2482.3\)