Ask Question
14 August, 11:46

Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 3, and y = 4 about the y-axis.

25 times pi divided by 2

97 times pi divided by 3

173 times pi divided by 3

None of these

+1
Answers (1)
  1. 14 August, 15:17
    0
    X=3 and y=x^2 intersect at (3,9), so your bounds are y=4 and y=9 and and., so you use the disk method therefore you have to switch variables (even though x^2 is not invertible, because you only need the right side you can use y^ (1/2)) so pi*integral (3^2 - (y^ (1/2)) ^2 dy) making it pi*[9y - (1/2) y^2]|y = (4,9), pi*[25/2]
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 3, and y = 4 about the y-axis. 25 times ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers