Derivation of the volume of a cone

  • #1
330
34

Main Question or Discussion Point


In the derivation, when I started, instead of having the top of the cone touching the y-axis, I made its base touch the y-axis and derived the equation by that. Because of that, my equation for y was rx/h + r, instead of rx/h. And the answer that I got was incorrect. How do I get the write formula by putting the base of the cone on y-axis?
 

Answers and Replies

  • #2
stevendaryl
Staff Emeritus
Science Advisor
Insights Author
8,401
2,580
In the derivation, when I started, instead of having the top of the cone touching the y-axis, I made its base touch the y-axis and derived the equation by that. Because of that, my equation for y was rx/h + r, instead of rx/h. And the answer that I got was incorrect. How do I get the write formula by putting the base of the cone on y-axis?
It should be ##y = r - rx/h##, because the biggest value for ##y## is when ##x=0##, and it declines to zero at ##x=h##.
 

Related Threads on Derivation of the volume of a cone

  • Last Post
Replies
10
Views
130K
Replies
2
Views
3K
Replies
7
Views
7K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
2
Views
23K
  • Last Post
Replies
1
Views
2K
Replies
9
Views
19K
  • Last Post
Replies
14
Views
12K
  • Last Post
Replies
5
Views
22K
Replies
5
Views
11K
Top