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Overview
Grade 10
Develop spatial sense and proportional reasoning
2. Solve problems using SI and imperial units for surface area and volume of 3-D objects including cones, cylinders, prisms, pyramids, and spheres
2.3 Surface area and volume of cylinders
Surface Area of a Cylinder
The surface area of a cylinder equals its two circular bases plus its curved lateral surface.
What You'll Learn
Surface area of a cylinder: SA = 2 pi r squared + 2 pi r h (two circles plus the curved side).
Unrolled, the curved side becomes a rectangle with width equal to the circumference.
Volume of a cylinder: V = pi r squared times h.
Lateral surface area (curved side only, no circles) is 2 pi r h.
A cylinder's volume has no one-third factor since its cross-section is constant.
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
MB Curriculum Aligned