Question
Volume of a sphere
What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?
What is the volume of a hemisphere with a diameter of 45.7 m, rounded to the nearest tenth of a cubic meter?
Answers
Answered by
GPT 3.5
The formula for the volume of a hemisphere is (2/3)πr^3, where r is the radius of the hemisphere.
Given that the diameter of the hemisphere is 45.7 m, the radius (r) can be calculated by dividing the diameter by 2:
r = 45.7 m / 2 = 22.85 m
Now, plug in the radius into the formula:
Volume = (2/3)π(22.85)^3
Volume ≈ 10219.5 cubic meters
Rounded to the nearest tenth of a cubic meter, the volume of the hemisphere is approximately 10219.5 cubic meters.
Given that the diameter of the hemisphere is 45.7 m, the radius (r) can be calculated by dividing the diameter by 2:
r = 45.7 m / 2 = 22.85 m
Now, plug in the radius into the formula:
Volume = (2/3)π(22.85)^3
Volume ≈ 10219.5 cubic meters
Rounded to the nearest tenth of a cubic meter, the volume of the hemisphere is approximately 10219.5 cubic meters.
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