Equilateral 81142

The rotating body was created by rotating an equilateral triangle with a side length of a=2 cm around one of its sides. Calculate the volume of this rotating body.

Correct answer:

V =  6.2832 cm3

Step-by-step explanation:

a=2 cm h=a/2=2/2=1 cm  a2 = h2+r2  r=a2h2=2212=3 cm1.7321 cm  V1=31 π r2 h=31 3.1416 1.73212 13.1416 cm3 V2=V1=3.14163.1416 cm3  V=V1+V2=3.1416+3.1416=6.2832 cm3

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