SOLUTION: A cone is sliced in half such that the face created is an equilateral triangle with side of length 4. Find the volume of the half cone

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Question 979956: A cone is sliced in half such that the face created is an equilateral triangle with side of length 4. Find the volume of the half cone
Answer by josgarithmetic(39799) About Me  (Show Source):
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Diameter of the cone's circular base is 4, so the radius is 2.

The cone height becomes the longer leg of a 30-60-90 triangle with hypotenuse 4, small leg 2, and that longer leg for the cone height, h.

r=2, to use in volume h%2Api%2Ar%5E2 and 2%5E2%2Bh%5E2=4%5E2.

Solve for h;
use it in the volume expression and evaluate volume.