
Volume Calculation Using the Disk Method
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
+3
Standards-aligned
Sophia Harris
FREE Resource
Standards-aligned
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main goal of using the disk method in this problem?
To find the area under a curve
To find the length of a curve
To find the volume of a solid
To find the surface area of a solid
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the representative rectangle help us visualize in the disk method?
The total volume of the solid
The approximate volume of one slice of the solid
The height of the solid
The surface area of the solid
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the disk method, what does the radius of the disk represent?
The height of the cylinder
The diameter of the disk
The function value at a given x
The width of the rectangle
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula used to find the volume of a right circular cylinder?
V = πr^2h
V = 2πrh
V = 2πr^2h
V = πr^2
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of u-substitution in evaluating the integral?
To simplify the limits of integration
To change the variable of integration
To simplify the integrand for easier integration
To eliminate the need for integration
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the integral from -1 to 1 for the function 2.3 raised to the power of 2x?
An approximate volume of 9.6200
An exact volume of 8.6200
An exact volume of 9.6200
An approximate volume of 8.6200
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the natural log in the anti-derivative of the integral?
It is used to simplify the integrand
It helps in finding the limits of integration
It is used to convert the function to a different base
It is part of the formula for the anti-derivative
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