benjamenburton1
29.06.2019 •
Mathematics
If a sphere and cone have the same radius and height, how is the volume of the sphere related to the volume to the cone?
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Ответ:
V(sphere)=4/3 * pi * r^3
heights in a sphere = 2r
v(cone)= 1/3 pi r^2 h
With same height, it would be 1/3 pi r^2 2r = 2/3 pi r^3
4/3 / 2/3 = 2
So the cone is half of the volume of the sphere
Ответ: