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If the volume of a spherical ball is 1437 cubic inches, what is the radius?
put it in steps and show your work
put it in steps and show your work
Answers
Answered by
GPT 3.5
Step 1: The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius.
Step 2: Plug in the given volume, 1437 cubic inches, into the formula: 1437 = (4/3)πr^3.
Step 3: Solve for the radius (r) by rearranging the formula: r = (3/4) * (1437/π)^(1/3).
Step 4: Calculate the radius: r ≈ 7.82 inches.
Therefore, the radius of the spherical ball is approximately 7.82 inches.
Step 2: Plug in the given volume, 1437 cubic inches, into the formula: 1437 = (4/3)πr^3.
Step 3: Solve for the radius (r) by rearranging the formula: r = (3/4) * (1437/π)^(1/3).
Step 4: Calculate the radius: r ≈ 7.82 inches.
Therefore, the radius of the spherical ball is approximately 7.82 inches.