
Volume of Solids Using the Disk Method

Interactive Video
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Mathematics
•
10th - 12th Grade
•
Hard
+1
Standards-aligned

Liam Anderson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the region bounded by in the problem of finding the volume of the solid?
y = 3x, x = 1, x = 3, and y = 0
y = 3x^2, x = 1, x = 3, and y = 0
y = x^2, x = 0, x = 2, and y = 1
y = 2x^2, x = 0, x = 4, and y = 1
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to find the volume of the solid in this problem?
Shell Method
Washer Method
Disk Method
Cavalieri's Principle
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the disk method involve when visualizing the volume of a solid?
Using triangular prisms
Using spherical shells
Using right circular cylinders
Using rectangular prisms
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the disk method, what does the radius of the disk represent?
The derivative of the function
The function value
The y-coordinate
The x-coordinate
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral setup for finding the volume of the solid in this problem?
Integral of x^3 from 0 to 2
Integral of 9x^4 from 1 to 3
Integral of 3x^2 from 1 to 3
Integral of 6x^2 from 0 to 4
Tags
CCSS.5.MD.C.5B
CCSS.6.G.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of 9x^4 used in the evaluation of the integral?
9x^2/2
9x^6/6
9x^3/3
9x^5/5
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the exact volume of the solid obtained after evaluating the integral?
1,000π/5 cubic units
2,178π/5 cubic units
1,500π/5 cubic units
3,000π/5 cubic units
Tags
CCSS.5.MD.C.5B
CCSS.6.G.A.2
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