what is the volume of this sphere?\nround your answer to the nearest hundredth.\n7 in\n____ cubic…

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: Substitute radius $r=7$ in

$$V = \frac{4}{3}\pi (7)^3$$

Step3: Calculate $7^3$ first

$7^3 = 343$, so $V = \frac{4}{3}\pi \times 343 = \frac{1372}{3}\pi$

Step4: Compute numerical value

$\frac{1372}{3}\pi \approx \frac{1372}{3} \times 3.1416 \approx 1436.755$

Step5: Round to nearest hundredth

Round $1436.755$ to two decimal places.

Answer:

1436.76 cubic inches