
Understanding the Shell Method for Volume Calculation
Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Aiden Montgomery
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary consideration when using the shell method for volume calculation?
The rectangle must be parallel to the axis of rotation.
The rectangle must be horizontal regardless of the axis.
The rectangle must be perpendicular to the axis of rotation.
The rectangle must be diagonal to the axis of rotation.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When rotating about a horizontal axis, with respect to which variable do we integrate?
x
z
y
t
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the shell method, what does the radius represent when rotating about a vertical axis?
The distance from the x-axis to the function.
The distance from the y-axis to the function.
The distance from the origin to the function.
The distance from the function to the axis of rotation.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the first example, what is the expression for the radius function when rotating about x = 5?
5 + x
5 - x
x - 5
x + 5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the height function h(x) in the first example problem?
sqrt(x)
1/x
x^2
x
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the final volume of the solid formed in the first example?
410π/15
420π/15
400π/15
416π/15
Tags
CCSS.HSG.GPE.A.1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the second example, what is the expression for the radius function when rotating about y = -1?
y - 1
y + 1
1 - y
1 + y
Tags
CCSS.HSG.GPE.A.1
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