Chapter 31.1
Surface area and volume of cylinders
What You'll Learn
Calculate the surface area of cylinders using the formula 2πr² + 2πrh
Find the volume of cylinders by multiplying the base area by height
Convert between diameter and radius to apply cylinder formulas correctly
Determine surface area and volume of composite solids combining cylinders and rectangular prisms
Understand why cylinder formulas work by visualizing the unwrapped shape
What You'll Practice
1
Finding surface area and volume of complete cylinders given radius and height
2
Calculating measurements for half-cylinders in composite shapes
3
Computing total surface area by adding rectangular and cylindrical components
4
Solving problems with mixed units and converting diameter to radius
Why This Matters
Cylinder calculations are essential for real-world applications like designing storage tanks, calculating material needs for construction, and determining capacity in engineering. You'll use these formulas in physics, chemistry, and any field involving three-dimensional objects.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Learning resources
Skills
Surface Area
Volume
Cylinders
Composite Solids
Geometric Formulas
Radius and Diameter
3D Geometry
OH Curriculum Aligned
