Mensuration
ICSE · Class 10 · Mathematics
Flashcards for Mensuration — ICSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Explore the full setWhat is a right circular cylinder and how is it formed?
Answer
A right circular cylinder is a solid formed when a rectangle is revolved about one of its sides as an axis. The side about which the rectangle revolves becomes the height of the cylinder, and the oppo…
Write the formula for curved surface area of a cylinder.
Answer
Curved Surface Area of Cylinder = 2πrh Where: r = radius of base, h = height Alternatively: Curved Surface Area = Perimeter of base × Height…
Write the formula for total surface area of a cylinder.
Answer
Total Surface Area of Cylinder = 2πr(h + r) This includes: Curved surface area + Area of top + Area of bottom = 2πrh + πr² + πr² = 2πrh + 2πr²…
Write the formula for volume of a cylinder.
Answer
Volume of Cylinder = πr²h Where: r = radius of base, h = height Concept: Volume = Area of base × Height…
A cylindrical water tank has radius 3.5 m and height 10 m. Find its total surface area.
Answer
Given: r = 3.5 m, h = 10 m Total Surface Area = 2πr(h + r) = 2 × (22/7) × 3.5 × (10 + 3.5) = 2 × (22/7) × 3.5 × 13.5 = 297 m²…
What is a hollow cylinder? Write the formula for volume of material in a hollow cylinder.
Answer
A hollow cylinder is a cylinder with a hollow interior (like pipes or tubes). Volume of material = π(R² - r²)h Where: R = external radius, r = internal radius, h = height This equals: External volume …
What is a right circular cone and what are its important parts?
Answer
A right circular cone is formed by revolving a right-angled triangle about one of its sides containing the right angle. Important parts: - Vertex: The top point - Base: Circular bottom (radius = r) - …
Write the relationship between height, radius, and slant height of a cone.
Answer
l² = h² + r² Or: l = √(h² + r²) Where: l = slant height, h = height, r = radius of base This comes from Pythagoras theorem applied to the right triangle formed.
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