SOLUTION: How to find the volume of this shape? https://www.flickr.com/photos/123400688@N08/13932227274/in/photostream/ The answer at the back of the book is: 1560cm^3 please give me a

Algebra ->  Volume -> SOLUTION: How to find the volume of this shape? https://www.flickr.com/photos/123400688@N08/13932227274/in/photostream/ The answer at the back of the book is: 1560cm^3 please give me a      Log On


   

Question 864907: How to find the volume of this shape?
https://www.flickr.com/photos/123400688@N08/13932227274/in/photostream/
The answer at the back of the book is:
1560cm^3
please give me a detailed explanation and solution.Please help me.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The question asks for the volume of the cylinder MINUS the cone. The heights of both shapes are equal. Cylinder of diameter 12 has a hole drilled of diameter of base circle 3; and heights of both are equal.

Volume of cylinder: formula, v=h%2Api%2Ar%5E2
Your example, h=15, r=6

Volume of cone: formula, v=%281%2F3%29h%2Api%2Ar%5E2
Your example, h=15, r=3

The volume asked is highlight_green%2815%2Api%2A6%5E2-%281%2F3%29%2A15%2Api%2A3%5E2%29.