Answer:
523.3 cm^3
Step-by-step explanation:
You have a formula for the volume of a sphere: [tex]V=\frac{4}{3}\pi r^3[/tex] but to use it, you need the radius, r .
The panel on the left shows c = 31.4 cm (I am assuming c is the circumference, like the distance around the "equator" of the sphere).
What's the relationship of circumference of a circle (equator) to the radius?
[tex]c=2\pi r[/tex]
So put 31.4 in for c in that last formula.
[tex]31.4 =2\pi r[/tex]
If you use the approximate value of pi [tex]\pi \approx 3.14[/tex] that becomes
[tex]31.4 = 2(3.14)r\\\frac{31.4}{6.28} = r\\\\5=r[/tex]
Aha! The radius r is 5 cm. Now go back to the formula for volume:
[tex]V=\frac{4}{3} (3.14)(5^3)\\V=\frac{4}{3}(3.14)(125)\\V \approx 523.3 \text{ cm^3}[/tex]
