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Volume of the solid

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AP Calculus AB/BC

Definition

The volume of a solid refers to how much space it occupies in three dimensions and is typically measured in cubic units.

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Practice Questions (3)

The base of a solid with rectangular cross sections is bounded by the y-axes, y = sin x, and y = 1 for 0</=x</=pi/2. If the width of a rectangular cross section is given by 1-sin(x) and its height is 3 which of the following formulas gives the volume of the solid?
The base of a solid with rectangular cross sections is bounded by the y-axes, y = sin x, and y = 1 for 0</=x</=pi/2. If the width of a rectangular cross section is given by 1-sin(x) and its height is 3 times its width, which of the following formulas gives the volume of the solid?
Consider a region defined by the function g(y) = √(4-y^2), revolved around the y-axis from y = 0 to y = 2. What is the volume of the solid formed by this revolution?

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