Cylinder volume diagonal

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.

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

algebra

system of equations
rearrange variables

arithmetic

square root

solid geometry

cylinder
volume of a solid

planimetry

Pythagorean theorem
right triangle

Units of physical quantities

volume

Grade of the word problem

practice for 14 year olds
high school

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