Sphere and cone

Within the sphere of radius G = 33 cm inscribe cone with largest volume. What is that volume and what are the dimensions of the cone?

Result

r =  31.11 cm
h =  44 cm
V =  44602.24 cm3

Solution:

h=33+11=44  cm h=33 + 11 = 44 \ \text{ cm }
V=13πr2h=44602.24 cm3V = \dfrac13 \pi r^2 h = 44602.24 \ cm^3

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Dr Math
that's very mind blowing

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