Question

Your friend measures the circumference of a fitness ball as 2.04 meters and says, “The volume of the ball is 0.1433638009 cubic meters.” Do you agree with your friends statement?

Answer 1

Explanation:

no, I do not agree with the friends statement. it is 0.00204 cubic meters.

Answer 2

Answer: yes I agree with the friend's statement

Reason:

The circumference of the ball is the distance around its equator. We'll use this to find the radius.

C = 2*pi*r

r = C/(2pi)

r = 2.04/(2pi)

r = 0.32467608390747 approximately

Use that radius value to find the volume of the sphere.

V = (4/3)*pi*r^3

V = (4/3)*pi*(0.32467608390747)^3

V = 0.14336380086762

V = 0.1433638009

This matches with what the friend got.

Side note: I used the calculator's stored value of pi.