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A circular piece of card, with radius of 12cm, has a quarter of it removed and is folded to form a cone. The slanted height of the cone is 12cm and the vertical height is h cm.

Show that the volume of the cone, Vcm^3, is given by the expression V = 1/3 (3.14h)(144-h^2)

(^ to the power of)
2. Well the slanted height can be considered the hypotunse of a right-angle triangle with the radius of the base of cone and vertical height forming the other sides,so by pythagorean theorem 12^2=h^2 +r^2.Thus r^2=144-h^2

V=1/3(h)(r^2)3.14

Hoped I helped
3. You're a star! Cheers mate.

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Updated: November 29, 2011
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