Volumes by shells Quiz

Name: ______________________   Date: __________   Score: ____ / 10

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

1. 1

   Find the volume of y = x² from x = 0 to x = 2 turned around the y-axis.
   1. A) V ≈ 251.3
   2. B) V ≈ −25.13
   3. C) V ≈ 25130
   4. D) V ≈ 25.13

2. 2

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

   Answer: ____________________

3. 3

   Find the volume of y = x² from x = 1 to x = 3 turned around the y-axis.
   1. A) V ≈ 1256.6
   2. B) V ≈ 125660
   3. C) V ≈ −125.66
   4. D) V ≈ 125.66

4. 4

   Find the volume of y = x³ from x = 0 to x = 1 turned around the y-axis.

   Answer: ____________________

5. 5

   Find the volume of y = 2x − x² turned around the y-axis.
   1. A) V ≈ 2
   2. B) V ≈ 8.38
   3. C) V ≈ −8.38
   4. D) V ≈ 8380

6. 6

   Find the volume of y = 4 − x² from x = 0 to x = 2 turned around the y-axis.

   Answer: ____________________

7. 7

   Find the volume between y = x and y = x² turned around the y-axis.
   1. A) V ≈ 0.52
   2. B) V ≈ 520
   3. C) V ≈ −0.52
   4. D) V ≈ 0

8. 8

   Find the volume of y = x² + 1 from x = 0 to x = 2 turned around the y-axis.

   Answer: ____________________

9. 9

   Find the volume between y = 4 and y = x² from x = 0 to x = 2 turned around the y-axis.
   1. A) V ≈ 25130
   2. B) V ≈ 25.13
   3. C) V ≈ −25.13
   4. D) V ≈ 251.3

10. 10

    Find the volume of y = 1 − x² from x = 0 to x = 1 turned around the y-axis.

    Answer: ____________________