A Math · Secondary 4 · Hard · Connected rates of change
Water is poured into a cone-shaped tank at a constant rate of 12cm3s−1. The tank has height 24cm and radius 8cm. The depth of water is hcm. Show that the volume of water is V=18πh3, and hence find dtdh when h=6.
π2cm s−1
π1cm s−1
π4cm s−1
2πcm s−1
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