Chapter 28.5
Surface area and volume of spheres
What You'll Learn
Calculate the surface area of a sphere using the formula 4πr²
Calculate the volume of a sphere using the formula (4/3)πr³
Find surface area and volume of hemispheres by adjusting sphere formulas
Solve for radius using circumference when the circumference is given
Calculate surface area and volume of composite solids combining spheres and cylinders
What You'll Practice
1
Finding surface area and volume of hemispheres with exposed circular bases
2
Calculating dimensions of capsule-shaped solids (cylinder with spherical ends)
3
Converting between circumference and radius to solve problems
4
Adding surface areas and volumes of combined geometric shapes
Why This Matters
Understanding spheres and composite solids is essential for real-world applications like calculating material needs for manufacturing, determining capacity of containers, and solving engineering problems. These skills build your spatial reasoning and prepare you for advanced geometry, physics, and calculus.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Learning resources
Skills
Spheres
Surface Area
Volume
Composite Solids
Hemispheres
Cylinders
Circumference
3D Geometry
