Frustrum - volume, area

Calculate the surface and volume of the truncated cone, the radius of the smaller figure is 4 cm, the height of the cone is 4 cm and the side of the truncated cone is 5 cm.

Correct answer:

S =  376.9911 cm2
V =  389.5575 cm3

Step-by-step explanation:

s=5 cm r2=4 cm h=4 cm  s2=h2+(r1r2)2  r1=r2+s2h2=4+5242=7 cm  S1=π r12=3.1416 72153.938 cm2 S2=π r22=3.1416 4250.2655 cm2 S3=π (r1+r2) h2+(r1r2)2=3.1416 (7+4) 42+(74)2172.7876 cm2  S=S1+S2+S3=153.938+50.2655+172.7876=376.9911 cm2
V=31 (S1+π r1 r2+S2) h=31 (153.938+3.1416 7 4+50.2655) 4=389.5575 cm3



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