Volumes by disks and washers Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/volumes-by-disks-and-washers/quiz/

1. 1

   Find the volume of y = √x turned around the x-axis from x = 0 to x = 4.
   1. A) V ≈ 25.13
   2. B) V ≈ −25.13
   3. C) V ≈ 251.3
   4. D) V ≈ 25130

2. 2

   Find the volume of y = x² turned around the x-axis from x = 0 to x = 2.

   Answer: ____________________

3. 3

   Find the volume of y = 3 turned around the x-axis from x = 0 to x = 2.
   1. A) V ≈ 56.55
   2. B) V ≈ 9
   3. C) V ≈ 3
   4. D) 6π

4. 4

   Find the volume of y = √x turned around the x-axis from x = 1 to x = 5.

   Answer: ____________________

5. 5

   Find the volume of y = 4 − x² turned around the x-axis from x = −2 to x = 2.
   1. A) V ≈ 107230
   2. B) V ≈ −107.23
   3. C) V ≈ 1072.3
   4. D) V ≈ 107.23

6. 6

   Find the volume of y = x^3/2 turned around the x-axis from x = 0 to x = 2.

   Answer: ____________________

7. 7

   Find the volume between y = 4 and y = x² turned around the x-axis.
   1. A) V ≈ 4
   2. B) V ≈ 16
   3. C) V ≈ 160.85
   4. D) V ≈ −160.85

8. 8

   Find the volume between y = 3 and y = 1 turned around the x-axis from x = 0 to x = 2.

   Answer: ____________________

9. 9

   Find the volume of y = 2 − x turned around the x-axis from x = 0 to x = 2.
   1. A) 2π
   2. B) V ≈ 8380
   3. C) V ≈ −8.38
   4. D) V ≈ 8.38

10. 10

    Find the volume between y = 5 and y = x² + 1 turned around the x-axis.

    Answer: ____________________