Coffee flows from a conical filter of height and diameter into a cylindrical coffee…

PHYSICS · Single correct

Problem

Coffee flows from a conical filter of height

15\,\text{cm}

and diameter

15\,\text{cm}

into a cylindrical coffee pot of diameter

15\,\text{cm}

. The rate at which coffee enters the pot is

100\,\text{cm}^3/\text{min}

. The rate, in

\text{cm}/\text{min}

, at which the level in the pot rises when the coffee level is

10\,\text{cm}

is (1)

\frac{9}{16\pi}

(2)

\frac{25}{9\pi}

(3)

\frac{5}{3\pi}

(4)

\frac{16}{9\pi}