
Cylindrical Coordinates and Triple Integrals
Interactive Video
•
Mathematics
•
11th Grade - University
•
Practice Problem
•
Hard
Standards-aligned
Lucas Foster
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the solid region B defined by in the problem?
x^2 + y^2 <= 9, x <= 0, y <= 0, 0 <= z <= 1
x^2 + y^2 <= 16, x >= 0, y >= 0, 0 <= z <= 2
x^2 + y^2 <= 9, x >= 0, y >= 0, 0 <= z <= 1
x^2 + y^2 <= 16, x <= 0, y <= 0, 0 <= z <= 2
Tags
CCSS.HSG.GPE.A.1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why are cylindrical coordinates used to evaluate the triple integral?
Because the solid region is a sphere
Because the solid region is a cone
Because the solid region is a part of a cylinder
Because the solid region is a cube
Tags
CCSS.HSG.GPE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the circle in the XY Trace?
2
3
4
5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the limits of integration for z?
1 to 2
0 to 1
0 to 2
1 to 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the order of integration used in the setup?
dz, dtheta, dr
dz, dr, dtheta
dr, dz, dtheta
dtheta, dr, dz
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of z*r with respect to z?
z * r
z^3 / 3 * r
z^2 / 2 * r
z^2 * r
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of integrating with respect to r?
1/4 * r^2
1/2 * r^2
1/3 * r^2
1/5 * r^2
Access all questions and much more by creating a free account
Create resources
Host any resource
Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever
or continue with

Microsoft
%20(1).png)
Apple
Others
Already have an account?
Similar Resources on Wayground
11 questions
Integration by Parts Quiz
Interactive video
•
11th - 12th Grade
11 questions
Integral Test for Convergence Quiz
Interactive video
•
11th - 12th Grade
11 questions
Understanding the Principle of Least Action
Interactive video
•
10th Grade - University
6 questions
TED-Ed: What does the world's largest machine do? | Henry Richardson
Interactive video
•
KG - University
11 questions
Trigonometric Equations and Identities
Interactive video
•
10th - 12th Grade
11 questions
Understanding Lunes and Hippocrates' Contributions
Interactive video
•
10th - 12th Grade
Popular Resources on Wayground
15 questions
Fractions on a Number Line
Quiz
•
3rd Grade
20 questions
Equivalent Fractions
Quiz
•
3rd Grade
25 questions
Multiplication Facts
Quiz
•
5th Grade
22 questions
fractions
Quiz
•
3rd Grade
20 questions
Main Idea and Details
Quiz
•
5th Grade
20 questions
Context Clues
Quiz
•
6th Grade
15 questions
Equivalent Fractions
Quiz
•
4th Grade
20 questions
Figurative Language Review
Quiz
•
6th Grade
Discover more resources for Mathematics
12 questions
Add and Subtract Polynomials
Quiz
•
9th - 12th Grade
13 questions
Model Exponential Growth and Decay Scenarios
Quiz
•
9th - 12th Grade
27 questions
7.2.3 Quadrilateral Properties
Quiz
•
9th - 12th Grade
10 questions
Key Features of Quadratic Functions
Interactive video
•
8th - 12th Grade
11 questions
Exponent Quotient Rules A1 U7
Quiz
•
9th - 12th Grade
18 questions
Integer Operations
Quiz
•
5th - 12th Grade
15 questions
Exponential Growth and Decay Word Problems
Quiz
•
9th - 12th Grade
10 questions
complementary and Supplementary angles
Quiz
•
9th - 12th Grade