Question

what is the volume of this sphere? round your answer to the nearest hundredth. 17 ft blank cubic feet

Explanation:

Step1: Recall sphere volume formula

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

Step2: Identify the radius

The sphere has a radius $r = 17$ ft.

Step3: Calculate $r^3$

$r^3 = 17^3 = 17\times17\times17 = 4913$

Step4: Substitute into volume formula

$V = \frac{4}{3}\pi \times 4913 = \frac{19652}{3}\pi$

Step5: Compute numerical value

$\frac{19652}{3}\pi \approx 6550.67\times3.1416 \approx 20580.52$

Answer:

20580.52 cubic feet