The formula for the volume of a sphere is given by V = (4/3)πr^3, where r is the radius of the sphere.
Given the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2: r = 9/2 = 4.5 inches.
Substituting the value of the radius into the volume formula, we get V = (4/3)π(4.5^3).
Using the value of π as 3.14, we can calculate the volume: V ≈ (4/3)(3.14)(4.5^3) ≈ 3052.1 cubic inches.
Therefore, the amount of air needed to fill the basketball is approximately 3052.1 cubic inches.
Use the formula for the volume of a sphere to solve the following problem How much air is nooded to fill a basketball with a diameter of 9 inches? Use 3.14 as an approximation for pr. Round your answer to the nearest tenth (1 point) 381.5 ln.^ 3; 100.8 ln.^ 2; 3052.1 ln.^ 3; 113 ln.^ 3
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Wrong
Apologies for the error. It seems I made a mistake in my calculations. Let me correct it.
The correct formula for the volume of a sphere is V = (4/3)πr^3.
Given the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2: r = 9/2 = 4.5 inches.
Substituting the value of the radius into the volume formula, we get V = (4/3)π(4.5^3).
Using the value of π as 3.14, we can calculate the volume: V ≈ (4/3)(3.14)(4.5^3) ≈ 381.5 cubic inches.
Therefore, the amount of air needed to fill the basketball is approximately 381.5 cubic inches.
The correct formula for the volume of a sphere is V = (4/3)πr^3.
Given the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2: r = 9/2 = 4.5 inches.
Substituting the value of the radius into the volume formula, we get V = (4/3)π(4.5^3).
Using the value of π as 3.14, we can calculate the volume: V ≈ (4/3)(3.14)(4.5^3) ≈ 381.5 cubic inches.
Therefore, the amount of air needed to fill the basketball is approximately 381.5 cubic inches.