Question

what is the volume of this sphere? round your answer to the nearest hundredth. 3 ft cubic feet

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: Substitute radius value

Given $r = 3$ ft, substitute into the formula: $V=\frac{4}{3}\pi(3)^{3}$.
First, calculate $(3)^{3}=3\times3\times3 = 27$. Then $V=\frac{4}{3}\pi\times27$.
$\frac{4}{3}\times27 = 36$, so $V = 36\pi$.

Step3: Calculate and round

Using $\pi\approx3.14159$, $V\approx36\times3.14159 = 113.09724$.
Rounding to the nearest hundred - th, $V\approx113.10$ cubic feet.

Answer:

$113.10$