Cylinder, cone, sphere, prism and pyramid in 3D – nets and cross-sections

Mathematics3D GeometryAges 14–15

A rotatable 3D model of a cylinder, a cone and a sphere, plus a regular triangular prism and a regular square pyramid. Drag the radius and height sliders and unfold the lateral surface to see the cylinder become a 2πr × h rectangle and the cone become a sector of radius l. The lateral surface area, total surface area and volume formulas, with the current measurements substituted, and the cross-section (perpendicular to the axis or through the axis) update live.