A manufacturer produces closed hollow cans. The top part is a hemisphere made of tin and the bottom

Question

A manufacturer produces closed hollow cans. The top part is a hemisphere made of tin and the bottom part is a cylinder made of aluminium of cross-sectional radius $r$ cm and $h$ cm. There is no material between the cylinder and the hemisphere so that any fluid can move freely within the container. At the beginning of an experiment, a similar-shaped can of dimensions $r=4$and $h=10$, is filled to its capacity with water. Due to a hole at its base, water is leaking at a constant rate of 2 $\mathrm{c}{{\mathrm{m}}^{3}}{{\mathrm{s}}^{-1}}$ when the can is standing upright. Find the exact rate at which the height of the water is decreasing 80 seconds after the start of the experiment.[5]

Accepted Answer

1/(8π) cm/s

2018 MJC P1 Q9 [Modified]

2018 MJC P1 Q9 [Modified]

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