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Multiple Choice
An oblique cylinder is shown. Which of the following expressions correctly represents the volume of the cylinder?
A
B
C
D
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Verified step by step guidance
1
Recall that the volume of a cylinder, whether right or oblique, is given by the formula for the volume of a prism: the area of the base times the height.
Identify the base of the cylinder as a circle with radius \(r\), so the area of the base is \(\pi r^{2}\).
Recognize that the height \(h\) in the volume formula is the perpendicular distance between the two circular bases, not the slant height.
Combine these to write the volume formula as \(V = \pi r^{2} h\).
Compare the given options and confirm that the correct expression for the volume is \(V = \pi r^{2} h\).