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Toys in the form of spheres and a cone are shown in the 3D graphic below - Leaving Cert DCG - Question A-3 - 2014
Question A-3
Toys in the form of spheres and a cone are shown in the 3D graphic below. The drawing on the right shows the elevation of a cone A and two spheres, B and C. All thr... show full transcript
Worked Solution & Example Answer:Toys in the form of spheres and a cone are shown in the 3D graphic below - Leaving Cert DCG - Question A-3 - 2014
Step 1
Draw the plan of sphere B.
Answer
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Projection from centre in elevation: Start by projecting the center of sphere B vertically down to the horizontal plane. This will help locate its position accurately.
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Locate centre in plan: The center of sphere B will be represented in the plan view. Mark the projection point on the plan (horizontal plane) in a location that accounts for the dimension of sphere B.
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Draw sphere B: Using the center point found, draw a circle with a radius equal to that of sphere B. Ensure that the circle is entirely within the boundaries of the drawn plan.
Step 2
Draw the plan of sphere C.
Answer
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Constructions in elevation: Begin by projecting the center of sphere C down onto the horizontal plane similar to sphere B. Use the elevation to ensure that it is accurately placed in relation to the other objects.
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Projections to plan: From the elevation, create projections that will lead to the horizontal plane for sphere C.
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Locate centre in plan: Identify the center of sphere C at the intersection of the projected lines on the horizontal plane.
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Draw sphere C: Using the center point determined, draw a circle representing sphere C with a radius equal to that of sphere C. As with sphere B, this circle should not intersect other shapes unless they are in contact.