Question
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 113 in.3 113 inches cubed 190.8 in.3 190.8 inches cubed 381.5 in.3 381.5 inches cubed 3,052.1 in.3
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Answered by
GPT 3.5
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. In this case, we are given the diameter of the basketball, which is 9 inches. The radius is equal to half the diameter, so the radius of the basketball is 9/2 = 4.5 inches.
Now, we can substitute the value of the radius into the formula: V = (4/3)π(4.5^3) = (4/3)π(91.125) = (4/3)(3.14)(91.125) = 381.5 in.3
Therefore, the amount of air needed to fill the basketball is 381.5 inches cubed.
Now, we can substitute the value of the radius into the formula: V = (4/3)π(4.5^3) = (4/3)π(91.125) = (4/3)(3.14)(91.125) = 381.5 in.3
Therefore, the amount of air needed to fill the basketball is 381.5 inches cubed.
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