What you’ll learn
Model real objects using geometric shapes.
Key idea
Check base/section shapes and whether the width is constant, tapers, or follows an all-direction center-distance condition.
Retain every stated geometric constraint while ignoring only the declared seams/thickness.
Worked example
Enter the exact value or ordered values in the format requested below.
Ignoring seams and wall thickness, model a straight-sided filled can of radius 5 and height 3, with congruent parallel circular ends. Enter one standard 3D shape name.
- The stated geometric features are every perpendicular section through height 3 is a filled circle of radius 5.
- These match a right circular cylinder; the competing right circular cone has incompatible section/surface geometry.
Answer: right circular cylinder
Quick Check
Choose which candidate representation satisfies the requirements of 'Model real objects using geometric shapes' and justify the choice.
Ignoring seams and wall thickness, model a filled pointed container of circular base radius 5 and perpendicular height 3, with straight sides tapering to an axial tip. Its diagram/profile record says circular section radii shrink linearly from 5 at the base to zero at axial height 3. Select a model and justify matching geometry and ignored details.