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للمتميزين سؤال اثرائي حول المعدلات المرتبطة بالزمن
Consider two geometric objects:

1) A cylinder with height h meters and circular base of radius r meters

2) A cone with the same height h meters and matching circular base of radius r meters

(a) If both the cylinder and cone have their circular bases uniformly contracting inward at a rate of 1 meter per year, write an expression for the rate of change of volume with respect to time (dv/dt) for each shape in terms of r and h.

(b) If r = 2 meters and h = 4 meters, calculate the ratio of the cylinder's volume rate to the cone's volume rate of change with respect to time

البروفسور قصي المعموري / الرياضيات
للمتميزين سؤال اثرائي حول المعدلات المرتبطة بالزمن
Consider two geometric objects:

1) A cylinder with height h meters and circular base of radius r meters

2) A cone with the same height h meters and matching circular base of radius r meters

(a) If both the cylinder and cone have their circular bases uniformly contracting inward at a rate of 1 meter per year, write an expression for the rate of change of volume with respect to time (dv/dt) for each shape in terms of r and h.

(b) If r = 2 meters and h = 4 meters, calculate the ratio of the cylinder's volume rate to the cone's volume rate of change with respect to time
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للمتميزين سؤال اثرائي حول المعدلات المرتبطة بالزمن

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