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The 3D graphic of gym equipment below, shows a hemisphere (A) and a truncated cone (B) in mutual contact - Leaving Cert DCG - Question A-3 - 2016

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Question A-3

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The 3D graphic of gym equipment below, shows a hemisphere (A) and a truncated cone (B) in mutual contact. A sphere (C) is also shown in contact with the hemisphere. ... show full transcript

Worked Solution & Example Answer:The 3D graphic of gym equipment below, shows a hemisphere (A) and a truncated cone (B) in mutual contact - Leaving Cert DCG - Question A-3 - 2016

Step 1

Draw the plan of the truncated cone B.

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Answer

  1. Projection from Centre in Elevation: Begin by projecting lines from the apex of the cone down to the base in the elevation view.

  2. Locate Centre in Plan: Next, establish the center of the truncated cone in the plan view by measuring the base diameter and dividing it appropriately to find the midpoint.

  3. Outline of Cone B: Draw the outer outline which includes the base and the top edge of the truncated cone. Ensure the diameter at both ends is accurate as per the given elevation dimensions.

  4. Complete Plan: Finally, fill in the complete plan of cone B by ensuring that it is correctly proportioned and reflects the truncated shape accurately.

Step 2

Draw the plan of sphere C.

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Answer

  1. Constructions in Elevation: Start by sketching the elevation of the sphere, maintaining its circular shape.

  2. Projections to Plan: Project lines from the elevation downward to the plan view to assist in determining the diameter.

  3. Locate Centre in Plan: Mark the center of sphere C directly below the projection in the plan view.

  4. Draw Sphere C in Plan: Finally, using the diameter established in the elevation, draw a complete circle representing sphere C in the plan view. Make sure to keep the proportions consistent.

  5. Presentation: Ensure that the drawing is neat, with proper labeling and adherence to drawing conventions.

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