## Question

###### A flask has the shape sketched at right The bottom part of the flask is in the shape of a truncated cone with bottom radius 10 cm; top radius 5 cm; and height 10 cm Sitting on top of the truncated cone is a cylinder whose radius is 5 cm_ Liquid is being poured into the flask at a rate of 2 cm'/s. Note that the volume of the cone whose bottom radius is and whose vertical height is h is given by V = Trh When the liquid is 15 cm high in the flask; how fast is the height of the liquid increasin

A flask has the shape sketched at right The bottom part of the flask is in the shape of a truncated cone with bottom radius 10 cm; top radius 5 cm; and height 10 cm Sitting on top of the truncated cone is a cylinder whose radius is 5 cm_ Liquid is being poured into the flask at a rate of 2 cm'/s. Note that the volume of the cone whose bottom radius is and whose vertical height is h is given by V = Trh When the liquid is 15 cm high in the flask; how fast is the height of the liquid increasing? If the flask is initially empty, how long does it take the liquid to reach a height of 10 cm?

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