Find the Volume of the Solid Obtained by Rotating the Region

question 130

Short Answer

Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.
$$y = \ln x , y = 1 , y = 5 , x = 0 ; \text { about the } y - \text { axis }$$

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Definitions:

Reddish Color

A color hue that resembles the tint of blood or the primary color red mixed with slight amounts of white or yellow.

Silica

Silicon dioxide (SiO2), appearing either as a relatively pure form in a mineral (e.g., quartz) or as a component in more chemically complex minerals and rocks.

Cube-Shaped Crystals

Solids with an atomic structure that forms into a cube shape, commonly observed in minerals such as pyrite and halite.

Sulfide

A chemical compound that consists of sulfur and one or more elements, commonly found in ore minerals and as byproducts of industrial processes.