Math Problem Statement
1.) The volume of a cone of radius R and height H is V = . height unchanged, find how much has the radius increased from 2 if the average rate of change of 8piH/3
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Calculus
Average Rate of Change
Quadratic Equations
Formulas
V = (1/3)πR²H (Volume of a cone)
Average rate of change formula = (V(R2) - V(R1)) / (R2 - R1)
Quadratic equation formula: ax² + bx + c = 0
Theorems
Quadratic Formula
Suitable Grade Level
Grades 9-12