Answer:
3052 cm^3 (Answer C)
Explanation:
The formula for the circumference of a circle of radius r is C = 2(pi)(r). We know that C = 56.52 cm and want to find the model's radius:
C 56.52 cm
Solving for r, we get ---------- so that in this case r = ------------------ or
2(pi) 6.28
r = 9 cm.
The formula for the volume of a sphere of radius r is V = (4/3)(pi)(r^3), which here comes out to:
V = (4/3)(3.14)(9 cm)^3 = 3052 cm^3 (Answer C)