Perpendiculars 36213

A right triangle with perpendiculars a = 3 cm and b = 4 cm rotate around a longer perpendicular. Calculate the volume and surface area of ​​the resulting cone.

Correct answer:

S =  75.3982 cm2
V =  37.6991 cm3

Step-by-step explanation:

a=3 cm b=4 cm b>a  r=a=3 cm h=b=4 cm s=r2+h2=32+42=5 cm  S1=π r2=3.1416 3228.2743 cm2 S2=π r s=3.1416 3 547.1239 cm2 S=S1+S2=28.2743+47.1239=75.3982 cm2
V=31 S1 h=31 28.2743 4=37.6991 cm3

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