SAT Test Prep
35. Surface Area and Volume
35.4 Surface area and volume of cones
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
