A-cone-of-height-10-cm-and-base-radius-3-cm-is-held-vertex-down-and-is-filled-with-sand-A-hole-in-the-bottom-of-the-cone-allows-the-sand-to-escape-at-a-steady-rate-of-0-5-cm-3-s-find-the-rate-tha

Tinku Tara June 3, 2023 Mensuration 0 Comments

Question Number 6880 by Tawakalitu. last updated on 01/Aug/16

A cone of height 10 cm and base radius 3 cm is held vertex down and is filled with sand . A hole in the bottom of the cone allows the sand to escape at a steady rate of 0.5 cm^3 /s. find the rate that the depth is decreasing when the depth is 2 cm.

$${A}\:{cone}\:{of}\:{height}\:\mathrm{10}\:{cm}\:{and}\:{base}\:{radius}\:\mathrm{3}\:{cm}\:{is}\:{held}\:{vertex}\: \\ $$$${down}\:{and}\:{is}\:{filled}\:{with}\:{sand}\:.\:{A}\:{hole}\:{in}\:{the}\:{bottom}\:{of}\:{the}\:{cone} \\ $$$${allows}\:{the}\:{sand}\:{to}\:{escape}\:{at}\:{a}\:{steady}\:{rate}\:{of}\:\mathrm{0}.\mathrm{5}\:{cm}^{\mathrm{3}} /{s}.\:{find}\:{the} \\ $$$${rate}\:{that}\:{the}\:{depth}\:{is}\:{decreasing}\:{when}\:{the}\:{depth}\:{is}\:\mathrm{2}\:{cm}. \\ $$

Facebook Tweet Pin

A-cone-of-height-10-cm-and-base-radius-3-cm-is-held-vertex-down-and-is-filled-with-sand-A-hole-in-the-bottom-of-the-cone-allows-the-sand-to-escape-at-a-steady-rate-of-0-5-cm-3-s-find-the-rate-tha

Leave a Reply Cancel reply