Use the formula for the volume of a sphere to solve the following problem.
How much air is needed to fill a basketball with a diameter of 9 inches? Use 3.14 as an approximation for pi. Round
your answer to the nearest tenth.
(1 point)
381.5 ln^ 3
O 190.8 ln.^ 3
3052.1 ln.^ 3
O 113 ln.^ 3
The formula for the volume of a sphere is:
V = (4/3) * π * r^3
where V is the volume, π (pi) is a constant approximately equal to 3.14, and r is the radius of the sphere. The diameter of the basketball is given as 9 inches, so the radius would be half of that:
r = diameter / 2 = 9 inches / 2 = 4.5 inches
Now plug the values into the formula:
V = (4/3) * 3.14 * (4.5 inches)^3
V = (4/3) * 3.14 * (4.5 * 4.5 * 4.5) inches^3
V = (4/3) * 3.14 * 91.125 inches^3
V = 4.186666667 * 91.125 inches^3
V = 381.7625 inches^3
We need to round our answer to the nearest tenth, so the volume of air needed to fill the basketball would be approximately:
V ≈ 381.8 inches^3
The correct answer is:
190.8 inches^3