Discussion
Consider the following statements about solids.
1. There are five regular polyhedra 2. The slant height of a cone exceeds its vertical height 3. A sphere appears as a circle of the same diameter in every view
Answer: B
Correct answer: 1, 2 and 3 are all correct
All three hold. There are exactly five regular polyhedra - tetrahedron, cube, octahedron, dodecahedron and icosahedron. The slant height of a right cone is \( \sqrt{r^2+h^2} \) and so always exceeds the vertical height. And a sphere presents the same circle of its own diameter whatever the direction of viewing.
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