To find the diameter of a hemisphere with a given volume, we first need to use the formula for the volume of a hemisphere:
V = (2/3) * pi * (r^3)
where V is the volume and r is the radius of the hemisphere. Given that the volume is 8582 m^3, we can solve for the radius:
8582 = (2/3) * 3.14 * (r^3)
8582 = 2.09 * r^3
r^3 = 4101.44
r ≈ 15.7 m
The diameter of the hemisphere is twice the radius, so:
d ≈ 2 * 15.7 ≈ 31.4 m
Therefore, the diameter of the hemisphere with a volume of 8582 m^3 is approximately 31.4 meters.
What is the diameter of a hemisphere with a volume of 8582, m, cubed, comma8582 m 3 , to the nearest tenth of a meter?
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