Mathematics

Mathematics

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}

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