Question

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

Answer 1

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)