Math Problem Statement

a right circular cone has a slant height of 13 ft and a lateral area of 91𝜋 ft2. Find its volume in cubic feet.

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Volume of a Cone
Lateral Surface Area
Pythagorean Theorem

Formulas

Lateral Area of a Cone: A_L = πrl
Pythagorean Theorem: l² = r² + h²
Volume of a Cone: V = (1/3)πr²h

Theorems

Pythagorean Theorem

Suitable Grade Level

Grades 9-12