Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
3D Shapes
Volume and Surface Area Calculations

Formulas

Volume of a cone: V = (1/3)πr^2h
Surface area of a cone: A = πr(r + l)
Volume of a pyramid: V = (1/3)A_base * h
Volume of a cylinder: V = πr^2h
Surface area of a cylinder: A = 2πr(h + r)
Volume of a prism: V = A_base * h

Theorems

Pythagorean theorem (for calculating slant height)
Basic geometry of 3D solids

Suitable Grade Level

Grades 8-10