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A sphere has a radius of 3 and a hemisphere has a radius of 6. Compare the ratio of the volume of the sphere to the volume of the hemisphere.
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A sphere has a radius of 3 and a hemisphere has a radius of 6. Compare the ratio of the volume of the sphere to the volume of the hemisphere.
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Aug 20, 2018
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A sphere has a radius of 3 and a hemisphere has a radius of 6. Compare the ratio of the volume of the sphere to the volume of the hemisphere.
Mathematics
middle-school
RaphArbuz
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RaphArbuz
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Volume of a sphere:
V=4/3 π r³
V=4/3 π 3³ =
113.097335529
Volume of a Hemisphere:
V=½(4/3 π r³)
V=½(4/3 π 6³) =
452.389342117
113.097335529 to 452.389342117
Pretty much 1/4 right on the nuts (0.24999999999944737866981989309472)
Harish Kamboj
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Aug 22, 2018
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Harish Kamboj
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S=(4πr^3)/3, H=(4πr^3)/6
S/H=2rs^3/rh^3
S/H=(2*3^3)/6^3
S/H=54/216
S/H=1/4
So the volume of the hemisphere is 4 time the volume of the sphere.
Jan Wytze
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Aug 24, 2018
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Jan Wytze
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