Math Problem Statement
If the water is dripping out from a conical vessel of semi- vertical angle π/4 at a uniform rate of 2 cm³/s through a tiny hole at the vertex in the bottom. When the slant height of the water is 4 cm, find the rate of-
(a) decrease of the water level.
(b) decrease of the slant height.
(c) decrease of the water surface area.
(d) decrease of the wetted surface of the vessel.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Calculus
Formulas
Volume of a cone
Related rates in calculus
Theorems
-
Suitable Grade Level
Advanced High School
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