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Calculus Revolved Find Volume

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Calculus Revolved Find Volume
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16 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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If the region enclosed by these functions are revolved around the y axis, would one use a washer or disk?

washer

disk

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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Select the integral that would find the volume of the region revolving around the given axis.

Media Image
Media Image
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Media Image

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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Select the integral that would find the volume of the region revolving around the given axis.

Media Image
Media Image
Media Image
Media Image

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

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The region bounded by the line y = x and y = f(x) is rotated about the line y = k. Choose the correct representations of R and r

R = k + f(x)

R = k − f(x)

r = k + x

r = k − x

5.

MULTIPLE CHOICE QUESTION

1 min • 10 pts

Find the volume of the solid generated by revolving the area bounded by y = x2 and the x-axis from [0, 2] around the y-axis. 

0

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the volume of the region bounded by y = x2 - 2x and y = x that is rotated about y = 4.

5.4

30.6

96.133

108.332

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the volume of the solid of revolution obtained by rotating the region in bounded by y = x3 + 1, x = 1 and y = 1 about the y-axis.

11π/3

4π/13

3π/7

2π/5

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