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.

Final 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

Try another example


Did you find an error or inaccuracy? Feel free to send us. Thank you!







Tips for related online calculators
Are you looking for help with calculating roots of a quadratic equation?
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
Tip: Our volume units converter will help you convert volume units.

You need to know the following knowledge to solve this word math problem:

algebrasolid geometryplanimetricsUnits of physical quantitiesGrade of the word problem

 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: