Learning Goal
Part of: Explain volume formulas and use them to solve problems — 1 of 3 cluster items
Explain circle area and volume formulas
**HSG.GMD.A.1**: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.
Show moreShow less
HSG.GMD.A.1: Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.
What you'll learn
- Give an informal argument for why the circumference formula C = 2Ï€r is reasonable using approximation by polygons
- Give an informal argument for why the area formula A = πr² is reasonable using dissection or limit arguments
- Give an informal argument for why the volume formula V = πr²h for a cylinder is reasonable
- Give an informal argument for why the volume formula V = (1/3)Bh for a pyramid is reasonable using Cavalieri's principle or dissection
- Give an informal argument for why the volume formula V = (1/3)πr²h for a cone is reasonable
- Explain the difference between an informal argument (plausibility reasoning) and a formal proof
Slides
Interactive presentations perfect for visual learners • Interactive presentation
Slide Video
Watch narrated slides play like a video lesson • Narrated slide playback
Exercises
Practice problems to build fluency and understanding • 1 exercises