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Chapter 29.4
Surface area and volume of cones
What You'll Learn
Calculate the surface area of cones using the formula πr² + πrs
Apply the Pythagorean theorem to find the slant height of a cone
Compute cone volume using the formula (base area × height)
Convert between measurement units to ensure dimensional consistency
Solve for surface area and volume of composite solids combining cones with other shapes
What You'll Practice
1
Finding slant height using the Pythagorean theorem with radius and height
2
Calculating surface area and volume of cones with given dimensions
3
Converting between feet and inches before applying formulas
4
Working with composite solids like hemispheres combined with cones
Why This Matters
Mastering cone calculations builds on your knowledge of circles, pyramids, and cylinders while preparing you for real-world applications in engineering, architecture, and design. From ice cream cones to traffic cones to rocket nosecones, these formulas help you solve practical problems involving three-dimensional objects.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Learning resources
Skills
Surface Area
Volume
Cones
Pythagorean Theorem
Slant Height
Composite Solids
Unit Conversion
3D Geometry
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