General Properties of Cones

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What is the formula for the volume of a cone?
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Volume = 1/3 × π × r^2 × h, where r is the base radius and h is the height.
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What is the formula for the surface area of a cone?
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Surface Area = πr(r + l), where r is the radius and l is the slant height.
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How does the orientation of a plane affect a cone’s cross-section?
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The orientation determines the shape of the cross-section (circle, ellipse, parabola, etc.).
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Can a cone have an infinite number of sections?
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Yes, depending on the angle and position of the intersecting plane.
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What role do conic sections play in astronomy?
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Planets orbiting in ellipses are an application of conic sections.
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