Math Problem Statement

Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 14 cm.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of a Cone
Cube

Formulas

Volume of a cone = (1/3) * π * r^2 * h
Volume of a cube = edge^3

Theorems

Pythagorean Theorem (for finding the height if needed)

Suitable Grade Level

Grade 9-10