
Volume Calculation Using Double Integrals

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

Emma Peterson
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main objective of the problem discussed in the video?
To find the intersection points of a paraboloid with coordinate planes
To determine the height of a paraboloid
To calculate the volume of a solid bounded by a paraboloid and planes
To find the surface area of a paraboloid
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which method is used to find the volume of the solid?
Single integral
Triple integral
Double integral
Differential equations
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is the region of integration in the XY plane?
Ellipse
Triangle
Circle
Rectangle
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in setting up the double integral?
Integrate with respect to y
Evaluate the antiderivative
Integrate with respect to x
Find the limits of integration
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When integrating with respect to x, what is treated as a constant?
z
y
The paraboloid equation
x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the next step after integrating with respect to x?
Integrate with respect to y
Find the derivative
Graph the paraboloid
Evaluate the integral at the bounds for y
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the integral at the bounds for x?
A constant value
A function of y
A function of x
Zero
Tags
CCSS.5.MD.C.5B
CCSS.6.G.A.2
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