Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder.

Correct answer:

r =  2.67 cm
h =  5.33 cm

Step-by-step explanation:

V=31πr2h x/R=2r/H  r=2RHx=288x h=2(Rx)=2(8x)  V=31π(288x)22(8x)  V=682π82(8x2x3)  V=682π82(28x3x2) V=0 28x3x2=0 x1=0 283x=0  16=3x  x=5.333 cm r=2885.333=2.67 cm 
h=2(85.333)=5.33 cm

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