what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 4 ft cubic…

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$. The radius $r$ of the sphere is half of the diameter. Given diameter is 4 ft, so $r = 2$ ft.

Step2: Substitute values

Substitute $r = 2$ ft and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times2^{3}$. First, calculate $2^{3}=8$. Then $V=\frac{4}{3}\times3.14\times8$. $V=\frac{4\times3.14\times8}{3}=\frac{100.48}{3}$.

Step3: Calculate and round

$V\approx33.49$ cubic - feet.

Answer:

33.49