A football (American) has a circular cross section with radius approximately for . Compute the volume of the football. A) 238.9 inches³ B) 165.9 inches³ C) 119.4 inches³ D) 82.9 inches³

Question

Quizplus · Accepted Answer

The volume of a football can be approximated as a prolate spheroid, which has the formula V = (4/3)πa^2b, where a and b are the semi-axes and π is approximately 3.14. 
Since the radius is given as approximately 11 inches, we can estimate the semi-axes as a = b = 11 inches. 
Substituting these values into the formula, we get V = (4/3)π(11 inches)^2(11 inches) ≈ 238.9 cubic inches. 
Therefore, the closest answer choice is A.

A Football (American) Has a Circular Cross Section with Radius