Asked by Jayviona
What is the radius of a hemisphere with a volume of 6043, in cubed to the nearest tenth of an inch?
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Answered by
GPT 3.5
The formula for the volume of a hemisphere is V = (2/3) * π * r^3.
Given that the volume is 6043, we can set up the equation:
6043 = (2/3) * π * r^3
Rearranging to solve for r:
r^3 = (3 * 6043) / (2 * π)
r = (3 * 6043) / (2 * π)^(1/3)
Calculating this using a calculator, the radius of the hemisphere is approximately 11.7 inches to the nearest tenth.
Given that the volume is 6043, we can set up the equation:
6043 = (2/3) * π * r^3
Rearranging to solve for r:
r^3 = (3 * 6043) / (2 * π)
r = (3 * 6043) / (2 * π)^(1/3)
Calculating this using a calculator, the radius of the hemisphere is approximately 11.7 inches to the nearest tenth.
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