The top of the cylinder can be obtained by translating the base of the direct line segment AB which has links six square root of 2 The segment AB forms a 45 angle with the plane of the base what is the volume of the cylinder

The top of the cylinder can be obtained by translating the base of the direct line segment AB which has links six square root of 2 The segment AB forms a 45 ang class=

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Answer:

  D.  54π cubic units

Step-by-step explanation:

The height of the cylinder is the vertical distance between the planes containing its ends. That distance is one leg of a 45°-45°-90° triangle whose hypotenuse is 6√2. The ratio of sides in such a triangle is 1 : 1 : √2, so the leg length of interest is (6√2)/(√2) = 6 units.

The volume is given by ...

  V = πr^2h

  V - π(3^2)(6) = 54π . . . cubic units