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 value of \( \sum_{i=1}^{10} r(\mathrm{i}) \) is equal to
(a) \( 10 R\left[2-\frac{k}{H}\right] \)
(b) \( 5 R\left[2+\frac{11 k}{H}\right] \)
(c) \( 5 R\left[2-\frac{11 k}{H}\right] \)
(d) \( 4 R\left[2-\frac{11 k}{H}\right] \)
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