Rotating 6245

How does the volume of the rotating cone change if:

a) double the radius of the base
b) We reduce the height three times
c) Reduce the radius of the base five times

Correct answer:

k1 =  4
k2 =  0.3333
k3 =  0.04

Step-by-step explanation:

V=πr2 h/3 V1=π(2r)2 h/3 k1=V1/V k1=22=4
V2=πr2(h/3)/3 k2=V2/V k2=1/3=0.3333
V3=π(r/5)2 h/3 k3=V3/V k3=(1/5)2=0.04

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