I am attempting to 3D print a bowl to eat my morning cereal out of. The 3D print
ID: 3120722 • Letter: I
Question
I am attempting to 3D print a bowl to eat my morning cereal out of. The 3D printer I am working with can print any object in 3-space that 1 can describe with a collection of inequalities. I'm very particular about my cereal bowls, and want a bowl that has a flat base, a height of 8.5 cm, perfectly hemispherical sides with the diameter of the top of the bowl 18 cm, and a side thickness of 1 cm. Sketch a figure. What collection of inequalities should I input into the 3D printer in order to print a bowl to my specifications? (Suppose that the origin for the printer is the very' center of the bottom of the bowl.)Explanation / Answer
Let the height be represented by the variable z as the height is 8.5 cm
=> z <= 8.5
the inner radius of the bowl will be = 8.5 - 1 = 7.5 cm
r <= 7.5
and the thickness is = 1 cm
so enter t = 1
the base is a flat plate which is square in shape and its dimensions are as follows:
as the height is 8.5 cm and the radius of the top is 9 cm so the side of the plave wil be = sqrt(81 - 72.25 ) = sqrt(8.75)cm
=> the inequalities are as follows :
diameter d <= 9
height z <= 8.5
thickenss of the bowl t = 1
bottom plate dimensions : sqrt(8.75)*sqrt(8.75)*(.5)
base plate tickwhess is = .5 cm
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