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