Sand forms a right circular cone whose height is always three times its radius

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Sand forms a right circular cone whose height is always three times its radius. When the radius is 40 cm and increasing at 2 cm s⁻¹, determine the rate, in cm³ s⁻¹, at which the cone’s volume is increasing.

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