Cylinder-shaped 81512

A truncated cone-shaped part with base radii of 4 cm and 22 cm is to be recast into a cylinder-shaped part of the same height as the original part. What base radius will the new part have?

Correct answer:

r =  14 cm

Step-by-step explanation:

r1=4 cm r2=22 cm  V1 = 31 π h (r12+r1 r2+r22) V2 = π r2 h  V1=V2 31 π h (r12+r1 r2+r22) = π r2 h  r2 = 31 (r12+r1 r2+r22)  r=3r12+r1 r2+r22=342+4 22+222=14 cm



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