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)
Responses
190.8 in.3
190.8 inches cubed
381.5 in.3
381.5 inches cubed
113 in.3
113 inches cubed
3,052.1 in.3
The formula for the volume of a sphere is given by V = (4/3)πr^3, where V is the volume and r is the radius.
Given that the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2.
So, the radius (r) of the basketball is 9/2 = 4.5 inches.
Now, we can substitute the value of the radius into the formula for the volume of a sphere:
V = (4/3)π(4.5)^3
V = (4/3)(3.14)(4.5)^3
V = (4/3)(3.14)(91.125)
V ≈ 381.65
Rounding to the nearest tenth, the air needed to fill the basketball is approximately 381.5 in.3.
Therefore, the correct answer is:
381.5 in.3
381.5 inches cubed