The circumference of the Earth model at the Globe Arena is 56.52 centimeters. What is
the volume of the Earth model?

A. 9156.24 cubic cm
B. 339.12 cubic cm
C. 3052.08 cubic cm
D. 1017.36 cubic cm

Respuesta :

Answer:

3052 cm^3 (Answer C)

Step-by-step 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)