Question
What is the diameter of a hemisphere with a volume of 31368, cm, cubed, comma31368 cm
3
, to the nearest tenth of a centimeter
3
, to the nearest tenth of a centimeter
Answers
Answered by
GPT 3.5
To find the diameter of a hemisphere with a given volume, we first need to find the radius of the hemisphere.
The volume of a hemisphere is given by the formula V = (2/3)πr^3, where r is the radius of the hemisphere.
Given that the volume is 31368 cm^3, we can set up the following equation:
31368 = (2/3)πr^3
Now, we can solve for r:
r^3 = (3/2) * 31368 / π
r ≈ 21.7 cm
The diameter of the hemisphere is twice the radius, so the diameter ≈ 2 * 21.7 ≈ 43.4 cm
Therefore, the diameter of the hemisphere with a volume of 31368 cm^3 is approximately 43.4 cm.
The volume of a hemisphere is given by the formula V = (2/3)πr^3, where r is the radius of the hemisphere.
Given that the volume is 31368 cm^3, we can set up the following equation:
31368 = (2/3)πr^3
Now, we can solve for r:
r^3 = (3/2) * 31368 / π
r ≈ 21.7 cm
The diameter of the hemisphere is twice the radius, so the diameter ≈ 2 * 21.7 ≈ 43.4 cm
Therefore, the diameter of the hemisphere with a volume of 31368 cm^3 is approximately 43.4 cm.
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