Q1
What is a cylinder's total surface area formula?
A2πr(r+h)
Bπr²h
C4πr²
D(4/3)πr³
ICSEClass 10 (ICSE)MathematicsCh 20 · Topic 1
Cylinder, Cone and Sphere
Surface area and volume formulas for cylinders, cones, and spheres are essential for solving practical problems involving these 3D shapes.
Core concept
A cylinder's total surface area is 2πr(r+h), and its volume is πr²h, where r is radius and h is height.
How it works
A cone's curved surface area is πrl (where l is slant height), and its volume is (1/3)πr²h.
Why it matters
A sphere's surface area is 4πr², and its volume is (4/3)πr³, both depending only on the radius.
Key detail
These formulas are used for practical problems like calculating material needed for containers, or capacity of tanks and vessels.
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Quick notes
• Cylinder total surface area = 2πr(r+h).
• Cylinder volume = πr²h.
• Cone curved surface area = πrl.
• Cone volume = (1/3)πr²h.
• Sphere surface area = 4πr².
• Sphere volume = (4/3)πr³.
• These depend on radius (and height/slant height).
• Formulas solve practical container/capacity problems.