Advanced Mathematics Primary 4 Geometry

Ravi has a tin of Milo shaped like a cylinder and a party hat shaped like a cone. Which of the following statements about these two solids is correct?

A A cylinder has more faces than a cone.
B A cone has more edges than a cylinder.
C A cylinder and a cone have the same number of vertices.
D A cylinder has 2 edges and a cone has 2 edges.
Show Worked Solution

Worked Solution

Step 1: List the properties of a cylinder. • Faces: 2 flat circular faces (top and bottom) + 1 curved lateral face = 3 faces • Edges: 2 curved edges (one where each circular face meets the lateral surface) • Vertices: 0 (no sharp corner points) Step 2: List the properties of a cone. • Faces: 1 flat circular face (base) + 1 curved lateral face = 2 faces • Edges: 1 curved edge (where the base meets the lateral surface) • Vertices: 1 (the apex — the sharp pointed top) Step 3: Compare each property. • Faces: cylinder (3) > cone (2) ✓ — this statement is TRUE • Edges: cylinder (2) > cone (1) — the cone does NOT have more edges • Vertices: cylinder (0) ≠ cone (1) — they are NOT the same • Cone's edge count is 1, not 2 — the last option is FALSE Answer: A cylinder has more faces than a cone.

Correct answer: A cylinder has more faces than a cone.

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