Use the Method of Cylindrical Shells to Find the Volume $$y = x ^ { 2 } , y = 0 , x = 3 \text {; the } y \text {-axis }$$

question 40

Essay

Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis.Sketch the region and a representative rectangle. $$y = x ^ { 2 } , y = 0 , x = 3 \text {; the } y \text {-axis }$$

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Definitions:

Hormone

A substance produced internally that governs and moderates the functions of specific cells or organs.

Multinucleated Cells

Cells that contain more than one nucleus, which typically occurs in certain fungi, some protists, and specific human muscle cells.

Skeletal Muscle

A type of striated muscle attached to bones, under voluntary control, and responsible for movement of the skeleton.

Epithelial Cells

Cells that line the outer surfaces of organs and blood vessels, as well as the inner surfaces of cavities in many internal organs.