- #1
samee
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Homework Statement
Find the volume of a cap of a sphere with radius r and height h.
A picture of it is given here;
http://sjc.ilrn.com/ilrn/bca/user/appletImage?dbid=1276286560
Homework Equations
The area of a circle is [tex]\pi\[/tex]r^2
The Attempt at a Solution
So I flattened the sphere into a circle and solved me equation for x;
x=sqrt(r^2-y^2)
Then I rotated it around the y-axis and integrated to find;
[tex]\pi[/tex][tex]\int[/tex][tex]\stackrel{h}{r}[/tex](r²-y²)dy= [tex]\pi[/tex]((1/3)h³+(2/3)r³-hr²)
But the computer program I do my homework on tells me that it wrong. Now I'm confused. What did I do wrong?
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