Surface area of revolution Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-2/surface-area-of-revolution/quiz/

1. 1

   Find the surface area of y = 34x turned around the x-axis from x = 0 to x = 4.
   1. A) S ≈ 4.712
   2. B) S ≈ 47.12
   3. C) S ≈ −47.12
   4. D) S ≈ 471.2

2. 2

   Find the surface area of y = 43x turned around the x-axis from x = 0 to x = 3.

   Answer: ____________________

3. 3

   Find the surface area of y = √(9 − x²) turned around the x-axis from x = −3 to x = 3.
   1. A) S ≈ 113.10
   2. B) S ≈ −113.1
   3. C) S ≈ 11.31
   4. D) S ≈ 1131

4. 4

   Find the surface area of y = √x turned around the x-axis from x = 0 to x = 6.

   Answer: ____________________

5. 5

   Find the surface area of y = √x turned around the x-axis from x = 2 to x = 6.
   1. A) S ≈ 513.1
   2. B) S ≈ 51310
   3. C) S ≈ −51.31
   4. D) S ≈ 51.31

6. 6

   Find the surface area of y = √(16 − x²) turned around the x-axis from x = 0 to x = 2.

   Answer: ____________________

7. 7

   Find the surface area of y = 2x turned around the x-axis from x = 1 to x = 3.
   1. A) S ≈ 112400
   2. B) S ≈ 112.40
   3. C) S ≈ 5
   4. D) S ≈ 2

8. 8

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

   Answer: ____________________

9. 9

   Find the surface area of y = x³3 turned around the x-axis from x = 0 to x = 1.
   1. A) S ≈ −0.64
   2. B) S ≈ 640
   3. C) S ≈ 0.64
   4. D) S ≈ 6.4

10. 10

    Find the surface area of y = x³3 turned around the x-axis from x = 0 to x = 2.

    Answer: ____________________