Question

the radius, r, of a sphere is 6.4 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: Recall volume formula

The volume formula for a sphere is $V=\frac{4}{3}\pi R^{3}$.

Step2: Substitute values

Substitute $R = 6.4$ m and $\pi=3.14$ into the formula: $V=\frac{4}{3}\times3.14\times(6.4)^{3}$.
First, calculate $(6.4)^{3}=6.4\times6.4\times6.4 = 262.144$.
Then, $V=\frac{4}{3}\times3.14\times262.144$.
$\frac{4}{3}\times3.14\times262.144=\frac{4\times3.14\times262.144}{3}=\frac{3286.8992}{3}\approx1095.633067$.

Step3: Round the result

Round the result to the nearest tenth. $V\approx1095.6$ $m^{3}$.

Answer:

$1095.6$ $m^{3}$