Question

DO NOT POST UNUSEFUL ANSWERS! Serious answers only! A softball has a circumference of 12 inches. What is the softballs approximate volume? A. 16.41 in^3 B. 24.56 in^3 C. 29.18 in^3 or D. 31.27 in^3

Answer 1

Answer:

The answer would be 29.18 in³

Step-by-step explanation:

First we have to find the radius to figure out the volume of the softball.

Since we have the circumference of the softball, we would divide the total amount by pi, and then divide the answer by 2 (because radius is half of diameter). After this you would take the radius, raise it to the power of 3, and then multiply it by 4/3 and pi. This is because the volume of a sphere is:

V= $\frac{4}{3}$πr³.

After substituting in everything, we would get our final answer of 29.18 in³.

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Answer 2

Formula for volume of a sphere: V = (4 / 3)(pi)(r^3)

Formula for circumference: C = (pi)(2r)

Solving for radius using circumference formula:

12 = (pi)(2r)

2r = 12 / pi

r = 12 / 2pi

Solving for volume:

V = (4 / 3)(pi)((12 / (2pi))^3)

Plug into calculator

V = 29.18 in^3

Hope this helps!! :)