
Volume Calculation Methods in Calculus

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary function used in the video for demonstrating volume calculation?
x^3
1/x
square root of x
x^2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When using the slicing method, what is the shape of the area being rotated?
Cone
Annular disc
Cylinder
Sphere
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the slicing method, what is the limit that delta x approaches?
One
Four
Zero
Infinity
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral setup for the slicing method?
Integral from 0 to 2
Integral from 0 to 4
Integral from 2 to 4
Integral from 1 to 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main difference in setup between the slicing and shell methods?
The axis of rotation
The function used
The boundaries
The variable of integration
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the shell method, what is the radius of the cylindrical shell expressed in terms of?
a constant
z
y
x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the height of the cylindrical shell in the shell method?
y^2 - 4
y^2 + 4
4 - y^2
4 + y^2
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