Q19P In Problems 17 to 30, for the cu... [FREE SOLUTION]

Chapter 5: Q19P (page 257)

In Problems 17 to 30, for the curve $y = \sqrt{x}$ , between $x = 0$ and $x = 2$ , find:
The volume of the solid generated when the area is revolved about the axis.

Short Answer

Expert verified

The volume of the solid is $2 蟺$ .

Step by step solution

Definition of the volume of solid

The space taken by a particular solid is measured by a special quantity known as the volume of the solid. The cubic units required to fill the space is the measure of the volume.

Representation of the area bounded by the curve

Draw the bounded region for the curve $y = \sqrt{x}$ , between $x = 0$ and $x = 2$ .

Determination of the volume of the solid generated when the area is revolved about the x -axis

Determine the value of elementary volume from the above figure.

$d V = 蟺 {(f (x))}^{2} = 蟺虫$

Determine the value of total volume.

$V = {鈭�}_{0}^{2} 蟺虫dx = \frac{蟺}{2} {[x^{2}]}_{0}^{2} = 2 蟺$

Thus, the volume of the solid is

2 蟺

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91影视

In Problems 17 to 30, for the curve $y = \sqrt{x}$ , between $x = 0$ and $x = 2$ , find:
The volume of the solid generated when the area is revolved about the axis.

Short Answer

Step by step solution

Definition of the volume of solid

Representation of the area bounded by the curve

Determination of the volume of the solid generated when the area is revolved about the x -axis

One App. One Place for Learning.

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91影视

In Problems 17 to 30, for the curve y=x, between x=0and x=2 , find:The volume of the solid generated when the area is revolved about the axis.

Short Answer

Step by step solution

Definition of the volume of solid

Representation of the area bounded by the curve

Determination of the volume of the solid generated when the area is revolved about the x -axis

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Turning Points in Physics

Electricity

Geometrical and Physical Optics

Circular Motion and Gravitation

Solid State Physics

Linear Momentum

Study anywhere. Anytime. Across all devices.

In Problems 17 to 30, for the curve $y = \sqrt{x}$ , between $x = 0$ and $x = 2$ , find:
The volume of the solid generated when the area is revolved about the axis.