Volume of a cone by integration

  • #1
Can anyone help me with this question?

A uniform solid cone of height b and base radius a stands on a horizontal table. Find an expression for the volume of the disc at height h above the base. Integrate over all the discs to show that the total volume, V, is given by V =pi/3 * b * a^2
 

Answers and Replies

  • #2
NateTG
Science Advisor
Homework Helper
2,450
6
Can you find the radius of the cone at height [tex]h[/tex]?
What is the volume of a cylinder with radius [tex]r[/tex] and height [tex]dx[/tex]?
 

Related Threads on Volume of a cone by integration

Replies
1
Views
24K
Replies
1
Views
851
Replies
5
Views
11K
  • Last Post
Replies
2
Views
3K
  • Last Post
Replies
10
Views
131K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
14
Views
12K
Replies
2
Views
3K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
5
Views
22K
Top