# Rates of change!

#1
Hi, I often struggle with rates of change questions and this is no exception. If anyone has any tips I would be grateful! Here's my question-

A hollow right circular cone, whose height is twice the radius, is held with it's vertex downwards and water is poured at the rate of 4cm^3 per second.
Find in terms of π, the rate of rise of the water level when the depth is 2cm.
(Volume=1/3 π h r^2)

0
8 years ago
#2
(Original post by ShannonLeigh)
Hi, I often struggle with rates of change questions and this is no exception. If anyone has any tips I would be grateful! Here's my question-

A hollow right circular cone, whose height is twice the radius, is held with it's vertex downwards and water is poured at the rate of 4cm^3 per second.
Find in terms of π, the rate of rise of the water level when the depth is 2cm.
(Volume=1/3 π h r^2)

Are you familiar with "comparing similar triangles", CRC questions with cones often require this technique.
0
8 years ago
#3
(Original post by ShannonLeigh)
Hi, I often struggle with rates of change questions and this is no exception. If anyone has any tips I would be grateful! Here's my question-

A hollow right circular cone, whose height is twice the radius, is held with it's vertex downwards and water is poured at the rate of 4cm^3 per second.
Find in terms of π, the rate of rise of the water level when the depth is 2cm.
(Volume=1/3 π h r^2)

What are you aiming to find? (Not in those horrible words that no-one ever really uses, but in proper mathematical symbols.) What do you have? (Same principles.)
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