
Volume Calculation Using the Washer Method
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
+1
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the functions that define the boundaries of region R?
F(x) = x^2 and G(x) = x/4
F(x) = x^2 and G(x) = sqrt(x)
F(x) = sqrt(x) and G(x) = x/4
F(x) = x/4 and G(x) = sqrt(x)
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method is used to find the volume of the solid when rotating about the x-axis?
Cavalieri's Principle
Shell Method
Disk Method
Washer Method
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the outer radius function R(x) when rotating about the x-axis?
R(x) = x/4
R(x) = sqrt(x)
R(x) = x^2
R(x) = 4x
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the thickness of the representative rectangle when rotating about the x-axis?
Delta y
Delta x
Delta z
Delta t
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the integral for the volume when rotating about the x-axis?
256 pi cubic units
128/3 pi cubic units
256/3 pi cubic units
128 pi cubic units
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the point of intersection of the two functions?
(4, 0) and (0, 16)
(0, 4) and (16, 0)
(0, 0) and (4, 16)
(0, 0) and (16, 4)
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When rotating about the y-axis, what is the outer radius function R(y)?
R(y) = y^2
R(y) = 4y
R(y) = sqrt(y)
R(y) = y/4
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
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