Evaluating Volume of Curved Wedge Cut from Cylinder

AI Thread Summary
The discussion focuses on calculating the volume of a curved wedge cut from a cylinder with a radius of 3m by two intersecting planes. Participants express uncertainty about whether the question refers to a sector or the volume enclosed by the cylinder and the planes. The geometry involves one plane perpendicular to the cylinder's axis and another at a 45-degree angle, creating two equal enclosed volumes. A suggestion is made to visualize the problem by drawing a diagram to clarify the shapes involved. Understanding the correct interpretation of the question is crucial for accurate volume calculation.
PhilthyPhil
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Trying to do this question: 'Evaluate the volume of the following solids... A curved wedge that is cut from a cylinder of radius 3m by two planes. One plane is perpendicular to the axis of the cylinder. The other plane crosses the first plane at 45 degree angle at the centre of the cylinder.'

My problem is that I am not sure what the question is asking... does it just mean a sector? In which case it would just be 9/8*Pi*length or is it something else?
 
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I think it's the volume enclosed by the cylinder and the two planes. There are two encosed volumes, but they have equal shapes.

I'd take the cylinder x^2+y^2=r^2 and the xy-plane. You pick the other plane. And draw a picture ofcourse.
 

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