Spheres to cone

Two solid spheres of radii 2 cm and 4 cm are melted and recast into a cone of height 8 cm. Find the radius of the cone so formed.

Correct answer:

R =  6 cm

Step-by-step explanation:

r1=2 cm r2=4 cm h=8 cm  V1=34 π r13=34 3.1416 2333.5103 cm3 V2=34 π r23=34 3.1416 43268.0826 cm3  V=V1+V2=33.5103+268.0826301.5929 cm3  V = 31 π R2 h  R=π h3 V=3.1416 83 301.5929=6 cm



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