Investigations in measurements of a cone
On the right side of this worksheet, at the bottom, sliders allow you to change the radius of the base of your cone, and the height. The other drawings on the right show area of different elements of the cone (lateral area, area of the base, triangle formed by height, slant height and radius). On the right you can see the entire cone. At the top the tool calculates measurements for you of various lengths, areas and volume of different parts of the cone. The tool is designed to help you investigate the influence of one measurement on the others.
- What happens if you double the radius of the base? - What happens if you double the height of the cone? - Can you find any relationship among the radius, height, and shape of the lateral area? When is lateral area almost a circle? When is it close to a semi-circle? When is it a tiny wedge? Why?