# 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:

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

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Showing 1 comment:
Dr Math
that's very mind blowing

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