Answer:
-The volume of a sphere:
[tex]V \approx 5575.279[/tex] [tex]in ^3[/tex]
or
[tex]V \approx 5575.28[/tex] [tex]in^3[/tex] (Rounded to the nearest hundredth if needed)
Step-by-step explanation:
-Use the formula for the volume of a sphere and use the radius [tex]11[/tex] [tex]in[/tex] for that formula:
[tex]V = \frac{4}{3} \pi r^3[/tex]
[tex]V = \frac{4}{3} \pi 11^3[/tex]
-Then, you solve the formula:
[tex]V = \frac{4}{3} \pi 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 11^3[/tex]
[tex]V = \frac{4}{3} \times \pi \times 1331[/tex]
[tex]V = \frac{4}{3} \pi \times 1331[/tex]
[tex]V = \frac{5324}{3} \pi \approx 5575.279[/tex]
-Round up to the nearest hundredth (if needed):
[tex]V \approx 5575.28[/tex]