Back to 3D Geometry, Voronoi Diagrams and Graphs
3D solids: volume, surface area and angles
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Learn it Volume: prism or cylinder = base area × height; pyramid or cone = ⅓ × base area × height; sphere = ⁴⁄₃πr³. To find the angle between a line and a plane, find a right triangle using the line and its projection on the plane.
Example: A cone-shaped paper cup: radius 4 cm, height 10 cm. Volume?
- V = ⅓π(4²)(10).
- ≈ 167.6 cm³ (about 168 mL).
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