A hemispherical bowl of radius 15 cm is being filled with water at a steady rate of…

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

Problem

A hemispherical bowl of radius 15 cm is being filled with water at a steady rate of 200 cm³/s. When the depth of the water is 10 cm, what is the rate at which the depth is increasing? (a) 2π cm/s\dfrac{2}{\pi}\text{ cm/s} (b) 12π cm/s\dfrac{1}{2\pi}\text{ cm/s} (c) 1π cm/s\dfrac{1}{\pi}\text{ cm/s} (d) π2 cm/s\dfrac{\pi}{2}\text{ cm/s}

Related theory

Browse the problem library