Dimensions of a cylinder

We rolled a cylinder shell with a volume of 18 / π dm3 from a rectangle with an area of 6 dm2. Calculate the dimensions of the rectangle.

Correct answer:

a =  12 dm
b =  0.5 dm

Step-by-step explanation:

S=6 dm2 V=18/π=18/3.1416≐5.7296 dm3  S = ab a = 2π⋅ r V = π ⋅  r2 b  S = 2π⋅ r⋅ b V = π⋅ r2 b V/S = r/2 r=2⋅ V/S=2⋅ 5.7296/6≐1.9099 dm  a=2π⋅ r=2⋅ 3.1416⋅ 1.9099=12 dm
b=S/a=6/12=21​=0.5 dm b1​=π⋅ r2V​=3.1416⋅ 1.909925.7296​=21​=0.5 dm b1​ = b

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algebrasolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
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