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Exercise 1

Level 1

Cylinder volume

∫03∫02 π∫02r dr dθ dz\int_{0}^{3}\int_{0}^{2\,\pi}\int_{0}^{2}r\,dr\,d\theta\,dz

The problem already includes the Jacobian: do not multiply it a second time.

Enter the exact value. You can use pi and fractions.

Opening the solution counts as help. You can return to the same exercise.

Functions use radians. asin, acos and atan are inverse functions.