what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 8 ft…

what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 8 ft cubic feet

what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 8 ft cubic feet

Answer

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius.

Step2: Identify radius value

The radius $r = 8$ ft.

Step3: Substitute values

Substitute $r = 8$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times8^{3}$. First, calculate $8^{3}=8\times8\times8 = 512$. Then, $V=\frac{4}{3}\times3.14\times512$. $\frac{4}{3}\times3.14\times512=\frac{4\times3.14\times512}{3}=\frac{6430.72}{3}\approx2143.57$ (rounded to the nearest hundred - th).

Answer:

$2143.57$