# A a pyramid has a height h and a square base with

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(A) A pyramid has a height hand a square base with side x. If the height remains fixed and the side of the base is decreasing by 0.002 meters per year, what rate is the volume decreasing when the height is 120 meters and the base length is 150 meters?
(B) A pyramid has a height hand a square base with side x. If the height decreases at a rate of 0.0005 meters per year and the side of the base is decreasing by 0.002 meters per year, what rate is the volume decreasing when the height is 120 meters and the base length is 150 meters? .
5. The volume of a tree is given by 2112VC hπ=. Cis the circumference of the tree in meters at ground level, and his the height of the tree in meters. Both Cand hare functions of time t(years). (Think of Cand has implicit functions of t.(A) Find a formula for dVdt. What does this represent? )
(B) Suppose the circumference grows at a rate of 0.2 meters/year and the height grows at a rate of 4 meters/year. How fast is the volume of the tree growing when the circumference is 5 meters and the height is 22 meters?
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