2x cone

Circular cone height 84 cm was cut plane parallel with base. Volume of these two small cones is the same. Calculate the height of the smaller cone.

Correct answer:

v2 =  66.6708 cm

Step-by-step explanation:

v1=84 cm r1=1 cm V1=31 π r12 v1=31 3.1416 12 8487.9646 cm3  V2=V1/2=87.9646/243.9823 cm3 r1:v1=r2:v2  V2=31 π r22 v2 V2=31 π (r1/v1 v2)2 v2 V2=31 π r12/v12 v23  v2=33 V2/π/r12 v12=33 43.9823/3.1416/12 84266.6708 cm  r2=r1/v1 v2=1/84 66.67080.7937 cm  V3=31 π r22 v2=31 3.1416 0.79372 66.670843.9823 cm3 V3=V2=V1/2



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