What are the two functions whose area is rotated around the x-axis to form the solid?

Calculating Volumes of Solids of Revolution

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

Jackson Turner
FREE Resource
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
y = x^2 and y = x
y = sqrt(x) and y = x
y = x^2 and y = sqrt(x)
y = x and y = 1/x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the solid visualized when the area between the curves is rotated around the x-axis?
As a solid sphere
As a hollow cylinder
As a truffle shape with a hollow cone
As a solid cube
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What method is used to find the volume of the outer shape?
Washer method
Cavalieri's principle
Disk method
Shell method
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the boundaries of integration for the outer shape?
x = -1 to x = 1
x = 0 to x = 2
x = 1 to x = 2
x = 0 to x = 1
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the radius of the disks used to calculate the volume of the inner cone?
The value of y = sqrt(x)
The value of y = x
The value of y = x^2
The value of y = 1/x
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the integral setup for finding the volume of the inner cone?
Integral from 0 to 1 of pi * (1/x)^2 dx
Integral from 0 to 1 of pi * (sqrt(x))^2 dx
Integral from 0 to 1 of pi * x^2 dx
Integral from 0 to 1 of pi * x dx
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the antiderivative of x used in the final evaluation?
x^2
x^2/2
x^3/3
x^3
Create a free account and access millions of resources
Similar Resources on Quizizz
11 questions
Volume of Solids Using the Disk Method

Interactive video
•
10th - 12th Grade
10 questions
Volumes of Solids of Revolution

Interactive video
•
11th - 12th Grade
11 questions
Understanding Solids of Revolution and the Shell Method

Interactive video
•
10th - 12th Grade
11 questions
Volume Calculation Using the Washer Method

Interactive video
•
10th - 12th Grade
11 questions
Cylindrical Shell Method Concepts

Interactive video
•
11th - 12th Grade
11 questions
Antiderivatives and Solid of Revolution

Interactive video
•
9th - 12th Grade
11 questions
Understanding the Shell Method for Volume Calculation

Interactive video
•
9th - 12th Grade
11 questions
Volume Calculation Using the Washer Method

Interactive video
•
10th - 12th Grade
Popular Resources on Quizizz
15 questions
Multiplication Facts

Quiz
•
4th Grade
25 questions
SS Combined Advisory Quiz

Quiz
•
6th - 8th Grade
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
40 questions
SOL: ILE DNA Tech, Gen, Evol 2025

Quiz
•
9th - 12th Grade
20 questions
NC Universities (R2H)

Quiz
•
9th - 12th Grade
15 questions
June Review Quiz

Quiz
•
Professional Development
20 questions
Congruent and Similar Triangles

Quiz
•
8th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
Discover more resources for Mathematics
40 questions
Week 4 Student In Class Practice Set

Quiz
•
9th - 12th Grade
25 questions
Triangle Inequalities

Quiz
•
10th - 12th Grade
10 questions
Right Triangles: Pythagorean Theorem and Trig

Quiz
•
11th Grade
45 questions
Week 3.5 Review: Set 1

Quiz
•
9th - 12th Grade
17 questions
High School Survival Guide

Lesson
•
9th - 12th Grade