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A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is to be maximum, then the diameter of the jar must be $\mathrm{k}$ times the height of the jar. The value of k is
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The capacity of the jar will be maximum if height and radius of the cylinder are equal. $\therefore$ height $=$ radius
(1) Given diameter is $\mathrm{k}$ times the height of the jar. Diameter $=2 \times$ radius $=2 \times$ height $\quad \ldots .($ from $(1))$ $\therefore \mathrm{k}=2$
(1) Given diameter is $\mathrm{k}$ times the height of the jar. Diameter $=2 \times$ radius $=2 \times$ height $\quad \ldots .($ from $(1))$ $\therefore \mathrm{k}=2$
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