Q1
What is the volume formula for a cylinder?
Aπ × radius² × height
B2 × π × radius × height
C(4/3) × π × radius³
D(1/3) × π × radius² × height
ICSEClass 9 (ICSE)MathematicsCh 21 · Topic 1
Solids (Surface Area and Volume of 3-D Solids)
Surface area and volume calculations for 3D solids like cubes, cylinders, and spheres are essential for solving real-world capacity and mate
Core concept
A cylinder's volume is π × radius² × height, and its curved surface area is 2 × π × radius × height.
How it works
A sphere's volume is (4/3) × π × radius³, and its surface area is 4 × π × radius².
Why it matters
A cone's volume is (1/3) × π × radius² × height, useful for calculating the capacity of cone-shaped containers.
Key detail
These formulas are used in real life for tasks like calculating water tank capacity, packaging material needed, or container sizes.
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Quick notes
• Cylinder volume = π × radius² × height.
• Cylinder curved surface area = 2 × π × radius × height.
• Sphere volume = (4/3) × π × radius³.
• Sphere surface area = 4 × π × radius².
• Cone volume = (1/3) × π × radius² × height.
• These formulas apply to real-world capacity problems.
• Examples: water tanks, packaging, containers.
• Practice builds solid geometry problem-solving skills.