A storage tank is a right circular frustum 30 cm tall with a bottom radius of 10 cm…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

A storage tank is a right circular frustum 30 cm tall with a bottom radius of 10 cm and a top radius of 20 cm. Water flows into the tank at 1000 cm³/min. What is the rate of rise of the water level when the depth of the water is 15 cm? (a) 49π cm/min\dfrac{4}{9\pi}\text{ cm/min} (b) 409π cm/min\dfrac{40}{9\pi}\text{ cm/min} (c) 16049π cm/min\dfrac{160}{49\pi}\text{ cm/min} (d) 4027π cm/min\dfrac{40}{27\pi}\text{ cm/min}

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