Revision GuideGeometry & Trigonometry
Geometry Formula Reference Pack
A richer geometry reference pack covering area, perimeter, circles, and triangle methods with unit reminders and method-selection guidance.
Printable PDFOpen download
Revision GuideGeometry & Trigonometry
Surface Area and Volume Revision Sheet
A stronger revision sheet for cylinders, cones, and spheres that keeps radius, diameter, slant height, and result units clear.
Filename: surface-area-and-volume-revision-sheet.pdfFile size: 3 KB
Formula highlights
Cylinder surface area
A = 2 pi r^2 + 2 pi r h
Cone volume
V = 1/3 pi r^2 h
Choose the quantity first
- Volume answers capacity questions.
- Surface area answers coverage or exposed-material questions.
- Curved surface area is not always the same as total surface area.
Key formulas
- Cylinder volume: pi r^2 h
- Cylinder total surface area: 2pi r^2 + 2pi rh
- Cone volume: (1/3)pi r^2 h
- Sphere volume: (4/3)pi r^3
- Sphere surface area: 4pi r^2
Worked examples
Radius and diameter must not be mixed. If diameter is given, halve it before using radius-based formulas.
Cone surface-area work may require slant height rather than the vertical height used in the volume formula.
Quick checks
- Volume -> cubic units
- Surface area -> squared units
- Check whether the top and bottom are included in the surface question
Related calculators
Use the formulas in live tools.
Cone Surface Area Calculator
Use the Cone Surface Area Calculator to calculate cone surface area from the measurements you enter, with clear formulas and consistent units.
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Cone Volume Calculator
Use the Cone Volume Calculator to calculate cone volume from the measurements you enter, with clear formulas and consistent units.
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Cylinder Surface Area Calculator
Use the Cylinder Surface Area Calculator to calculate cylinder surface area from the measurements you enter, with clear formulas and consistent units.
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Use the Cylinder Volume Calculator to calculate cylinder volume from the measurements you enter, with clear formulas and consistent units.
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Sphere Surface Area Calculator
Use the Sphere Surface Area Calculator to calculate sphere surface area from the measurements you enter, with clear formulas and consistent units.
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Sphere Volume Calculator
Use the Sphere Volume Calculator to calculate sphere volume from the measurements you enter, with clear formulas and consistent units.
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