Volumes by disks and washers Quiz
10 questions · easy to harder · Calculus 2 · score and step-by-step answers
How it works
- 10 questions, about 30 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 5 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Find the volume of y = √x turned around the x-axis from x = 0 to x = 4.- A) V ≈ 25.13
- B) V ≈ −25.13
- C) V ≈ 251.3
- D) V ≈ 25130
2 Question 2
Find the volume of y = x2 turned around the x-axis from x = 0 to x = 2.Type the answer.
3 Question 3
Find the volume of y = 3 turned around the x-axis from x = 0 to x = 2.- A) V ≈ 56.55
- B) V ≈ 9
- C) V ≈ 3
- D) 6π
4 Question 4
Find the volume of y = √x turned around the x-axis from x = 1 to x = 5.Type the answer.
5 Question 5
Find the volume of y = 4 − x2 turned around the x-axis from x = −2 to x = 2.- A) V ≈ 107230
- B) V ≈ −107.23
- C) V ≈ 1072.3
- D) V ≈ 107.23
6 Question 6
Find the volume of y = x3/2 turned around the x-axis from x = 0 to x = 2.Type the answer.
7 Question 7
Find the volume between y = 4 and y = x2 turned around the x-axis.- A) V ≈ 4
- B) V ≈ 16
- C) V ≈ 160.85
- D) V ≈ −160.85
8 Question 8
Find the volume between y = 3 and y = 1 turned around the x-axis from x = 0 to x = 2.Type the answer.
9 Question 9
Find the volume of y = 2 − x turned around the x-axis from x = 0 to x = 2.- A) 2π
- B) V ≈ 8380
- C) V ≈ −8.38
- D) V ≈ 8.38
10 Question 10
Find the volume between y = 5 and y = x2 + 1 turned around the x-axis.Type the answer.