SOLUTION: a machinist drilled a conical hole into a cube of metal. If the cube has sides of length 6 centimeters what is the surface are of the cone shaped hole? 3.14 for pi
please help
ha
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Question 265045: a machinist drilled a conical hole into a cube of metal. If the cube has sides of length 6 centimeters what is the surface are of the cone shaped hole? 3.14 for pi
please help
have a diagram if you need it
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
I'm assuming that the circular base of the conical hole inscribed in the square side of the cube is an exact fit, that is the circle is tangent to the sides of the square.
And that the depth of the conical hole does not protrude beyond the other side of the cube.
So, given the above, you will have a cone (conical hole) whose circular base has a diameter (D) equal to the length of the side of the cube (D = 6cm.) and the height (h) of the cone (really the depth of the conical hole) is also equal to the length of the side of the cube (h = 6cm.).
The surface area (S) of a right circular cone, such as you have here, is given by:
Where: R = radius of base of cone = 3cm. and h = height of cone = 6cm. Making the appropriate substitutions...
sq.cm.
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