A right circular cone with radius \( R \) and height \( H \) contains a liquid which evaporates ...

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A right circular cone with radius \( R \) and height \( H \) contains a liquid which evaporates at a rate proportional to its surface area in contact with air (proportionality constant \( =k0 \) ). Suppose that \( r(t) \) is the radius of liquid cone at time \( t \). The time after which the cone is empty is
(a) \( H / 2 k \)
(b) \( H / k \)
(c) \( H / 3 k \)
(d) \( 2 H / k \)
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