Volumes by shells 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 = x2 from x = 0 to x = 2 turned around the y-axis.- A) V ≈ 251.3
- B) V ≈ −25.13
- C) V ≈ 25130
- D) V ≈ 25.13
2 Question 2
Find the volume of y = 3 from x = 0 to x = 2 turned around the y-axis.Type the answer.
3 Question 3
Find the volume of y = x2 from x = 1 to x = 3 turned around the y-axis.- A) V ≈ 1256.6
- B) V ≈ 125660
- C) V ≈ −125.66
- D) V ≈ 125.66
4 Question 4
Find the volume of y = x3 from x = 0 to x = 1 turned around the y-axis.Type the answer.
5 Question 5
Find the volume of y = 2x − x2 turned around the y-axis.- A) V ≈ 2
- B) V ≈ 8.38
- C) V ≈ −8.38
- D) V ≈ 8380
6 Question 6
Find the volume of y = 4 − x2 from x = 0 to x = 2 turned around the y-axis.Type the answer.
7 Question 7
Find the volume between y = x and y = x2 turned around the y-axis.- A) V ≈ 0.52
- B) V ≈ 520
- C) V ≈ −0.52
- D) V ≈ 0
8 Question 8
Find the volume of y = x2 + 1 from x = 0 to x = 2 turned around the y-axis.Type the answer.
9 Question 9
Find the volume between y = 4 and y = x2 from x = 0 to x = 2 turned around the y-axis.- A) V ≈ 25130
- B) V ≈ 25.13
- C) V ≈ −25.13
- D) V ≈ 251.3
10 Question 10
Find the volume of y = 1 − x2 from x = 0 to x = 1 turned around the y-axis.Type the answer.