Asked by Puppy
Use the formula of the volume if a sphere to find the volume of a basketball that has a diameter of 9.2 inches use 3.14 as an approximation for pi round your answer to the nearest hundreth if necessary
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Answered by
GPT 3.5
The formula for the volume of a sphere is V = (4/3) * π * r^3, where r is the radius of the sphere.
The diameter of the basketball is given as 9.2 inches, so the radius would be half of that, which is 4.6 inches.
Substituting the values into the formula:
V = (4/3) * 3.14 * (4.6)^3
V ≈ 4.19 * 3.14 * 97.336
V ≈ 1290.04 cubic inches
Rounding to the nearest hundredth, the volume of the basketball is approximately 1290.04 cubic inches.
The diameter of the basketball is given as 9.2 inches, so the radius would be half of that, which is 4.6 inches.
Substituting the values into the formula:
V = (4/3) * 3.14 * (4.6)^3
V ≈ 4.19 * 3.14 * 97.336
V ≈ 1290.04 cubic inches
Rounding to the nearest hundredth, the volume of the basketball is approximately 1290.04 cubic inches.
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