Rates of change!

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ShannonLeigh
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#1
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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)


Thanks in advance!
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Liamnut
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#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)


Thanks in advance!
Are you familiar with "comparing similar triangles", CRC questions with cones often require this technique.
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Smaug123
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#3
Report 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)

Thanks in advance!
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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