Calculate 70634

The axial section of the cylinder is a rectangle with a diagonal of u = 20 cm. The height of the cylinder is twice the diameter of the base. Calculate the cylinder volume in liters.

Correct answer:

V =  1.124 l

Step-by-step explanation:

u=20 cm dm=20:10  dm=2 dm h=2D=4r  u2=h2+(2r)2 u2=(4r)2+(2r)2 u2=16 r2+4r2 u2=20 r2  r=u/20=2/200.4472 dm h=4 r=4 0.44721.7889 dm  V=π r2 h=3.1416 0.44722 1.78891.124 l   Verifying Solution:   u2=h2+(2 r)2=1.78892+(2 0.4472)2=2 dm D=2 r=2 0.44720.8944 dm h2=2 D=2 0.89441.7889 dm

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