Calculus Volume Disk and Washer Method

Calculus Volume Disk and Washer Method

10th Grade - University

7 Qs

quiz-placeholder

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Calculus Volume Disk and Washer Method

Calculus Volume Disk and Washer Method

Assessment

Quiz

Mathematics

10th Grade - University

Practice Problem

Hard

Created by

Barbara White

Used 2+ times

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the region bounded by the function and the x axis is rotated about the line y = 3, would one use the washer or disk method? 

washer
disk

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the same region of the same graph is now rotated about the line y= -4, would one use a washer or disk?

washer
disk

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

If the region from (-1,0) is rotated about the x axis, would one use a washer or disk?

washer
disk

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If the region enclosed by the y-axis, y = 2 and the curve y = √x is revolved about the y-axis, what is the volume of the solid generated?

32π/5
16π/3
16π/5
8π/3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If the region enclosed by y = 1/x, y = 0 between x = 1 and x = 5 is revolved about the x-axis, what is the volume of the solid generated?

4π/5
2π/5
3π/5
πln(5)

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the volume of when the region bounded by y = x3, x = 4 and the x-axis is revolved about the y-axis.

2048π/5
3072π/5
1024π/5
64π

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the volume of the solid formed in the second quadrant bounded by the curves         y = 9 – x2, the x-axis and the y-axis when it is rotated about the line x = 1?

153π/2
81π/2
648π/5
45π/2