Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Surface Area
Cone
Sphere
Formulas
Surface area of a sphere: A_sphere = 4πr^2
Area of the base of the cone: A_base = πr^2
Lateral surface area of a cone: A_lateral = πr√(r^2 + h^2)
Theorems
Pythagorean theorem for calculating slant height
Suitable Grade Level
Grades 10-12
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