A youth basketball has a diameter of about 8.75 inches. What is the volume of air, in cubic inches, that can fill the basketball? Round your answer to the nearest hundredths place.
A. 1,052.31 In3
B. 350.77 in3
C. 240.41 in3
D. 2,806.16 in3
v = 4/3 pi r^3 = 4/3 * 3.1416 * (8.75/2)^3 = 350.77
so yes, B
Thanks!
Thanks oobleck
To find the volume of the air that can fill the basketball, we need to calculate the volume of a sphere. The formula for the volume of a sphere is (4/3)πr³, where r is the radius.
The basketball has a diameter of 8.75 inches, so the radius would be half of that, which is 8.75/2 = 4.375 inches.
Now, we can substitute the radius into the formula and calculate the volume:
Volume = (4/3)π(4.375)³
≈ (4/3)π(83.375)
≈ (4/3)(3.14159)(83.375)
≈ 350.7719 cubic inches
Rounding the answer to the nearest hundredths place, the volume of air that can fill the basketball is approximately 350.77 cubic inches.
Therefore, the correct answer is B. 350.77 in3.