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### Practice Questions

1
Question 607
Find the volume when the area bounded by the line $y=2x$ and the curve $y=6x-x^2$ are rotated ab...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
2,552
Students that Viewed Solution:
66%
2
Question 608
Find the volume when the area bounded by the lines $y=2-3x$, $x=0$, and $y=0$ are rotated abou...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
2,375
Students that Viewed Solution:
55%
3
Question 609
Find the volume of revolution when the area bounded by the curve $y=2-3x$, $x=0,\text{ and }y=0$...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
2,381
Students that Viewed Solution:
58%
4
Question 610
Find the volume of a sphere with a radius of 3 units using the v...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
2,087
Students that Viewed Solution:
61%
5
Question 611
(Try this!): Find the volume of a solid built on a base which is bounded by the curves ...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
2,174
Students that Viewed Solution:
50%
6
Question 612
For the following question, find the Volume of the solid that results when the indicated areas are r...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,968
Students that Viewed Solution:
56%
7
Question 613
For the following question, find the Volume of the solid that results when the indicated areas are r...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,864
Students that Viewed Solution:
53%
8
Question 614
For the following question, find the Volume of the solid that results when the indicated areas are r...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,850
Students that Viewed Solution:
58%
9
Question 615
For the following question, use technology to find the approximate Volume of the solid that results ...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,785
Students that Viewed Solution:
60%
10
Question 616
For the following question, find the Volume of the solid that results when the indicated areas are r...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,815
Students that Viewed Solution:
67%
11
Question 617
For the following question, find the Volume of the solid that results when the indicated areas are r...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,626
Students that Viewed Solution:
52%
12
Question 618
For the following questions, find the Volume of the solid that results when the indicated areas are ...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,475
Students that Viewed Solution:
49%
13
Question 619
For the following question, find the Volume of the solid that results when the indicated areas are r...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,387
Students that Viewed Solution:
40%
14
Question 620
For the following question, find the Volume of the solid that results when the indicated areas are r...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,468
Students that Viewed Solution:
58%
15
Question 621
For the following question, find the Volume of the solid that results when the indicated area is rot...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,560
Students that Viewed Solution:
63%
16
Question 622
Find the volume when a solid bounded by the curves $y=3\sqrt{x-1}$, $y=0$, and $x=4$ is revolv...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,601
Students that Viewed Solution:
64%
17
Question 623
Find the volume when a solid bounded by the curves $y=3\sqrt{x-1}$ and $y=0$ and $x=5$ are rev...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,518
Students that Viewed Solution:
61%
18
Question 624
Find the volume of a solid created by rotating the area bounded by $x=2y-y^2,$ and $x=y$ are rev...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,300
Students that Viewed Solution:
48%
19
Question 625
The region bounded between the curves $x=2y^2$ and $y=2x$ is rotated about the line $x=2$. Usi...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,212
Students that Viewed Solution:
49%
20
Question 626
(Try this!) Find the volume of the sphere created by rotating the top half of the circle defined by...
Question Type
Solve for a Variable(s)
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,125
Students that Viewed Solution:
45%
21
Question 9246
AP Prep: What is the volume of the solid generated by rotating the area enclosed by $f(x)=x^3$, ...
Question Type
Evaluate an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
1,072
Students that Viewed Solution:
49%
22
Question 9247
AP Prep: Find the volume of the solid generated by rotating the region bounded by the x-axis, y-axis...
Question Type
Simple Word Problem
12
Parts
1
1
Author
Bruce Merz
Attempts:
890
Students that Viewed Solution:
47%
23
Question 9248
AP Prep: Find the volume of a damaged cardboard box with a base we can model as the region under the...
Question Type
Simple Word Problem
12
Parts
1
1
Author
Bruce Merz
Attempts:
858
Students that Viewed Solution:
50%
24
Question 9249
AP Prep: Find the volume of the solid generated by rotating the ellipse $4x^2+y^2=9$ about the y-a...
Question Type
Simple Word Problem
12
Parts
1
1
Author
Bruce Merz
Attempts:
831
Students that Viewed Solution:
52%
25
Question 9604
AP Prep: The base of a solid is the region enclosed by the parabola $y = 3x^2$, the line $x = 2$...
Question Type
Simplify an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
876
Students that Viewed Solution:
47%
26
Question 9605
AP Prep: The base of a solid is the region in the first quadrant enclosed by the graph ...
Question Type
Simplify an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
901
Students that Viewed Solution:
58%
27
Question 9606
AP Prep: The base of a solid is the region enclosed by the graph of $y = \sqrt{sin x}$, the line ...
Question Type
Simplify an Expression
12
Parts
1
1
Author
Bruce Merz
Attempts:
888
Students that Viewed Solution:
60%
28
Question 9607
AP Prep: The base of a solid is the region in the first quadrant bounded by the x-axis, y-axis and t...
Question Type
Simplify an Expression