The base of a certain solid is an equilateral triangle with altitude 14. Cross-sections perpendicular to the altitude are semicircles. Find the volume of the solid, using the formula [tex]V= \int_a^{b} A(x)dx[/tex](adsbygoogle = window.adsbygoogle || []).push({});

applied to the picture shown attached to this post (click for a better view), with the left vertex of the triangle at the origin and the given altitude along the -axis.

i figure a= 0 and b = 14 and i will be plugging it into the formula pi*r^2 right?

the problem i'm having is finding the cross-section. can someone lend me a hand?

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# Homework Help: Find volume of object if cross-sections are known

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