The height h and radius r of the base of a straight circular cone are varying at constant rates of 0.3m/s and 0.1m/s, respectively. At what rate will the volume V of the cone be changing when h = 0.5m and r = 0.2m?

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Q: The volume of a cone of radius r and height h is given by V=1/3pir^2h. If the radius increases at a…

A: Volume of a cone = πr2h3 , Where r= radius of a cone and h= height of a conedrdt= 0.5cm/sec , dhdt=…

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Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

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Q: A balloon, in the shape of a right circular cylinder, is being inflated in such a way that the…

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Q: 3. Water is flowing into a vertical cylindrical tank at the rate of 24 cubic ft. /min. if the radius…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: at what rate is the volume of the cube changing if the edge is 8cm and is changing at 4cm/sec?

A: The volume of a cube is: Where, a is the edge of the cube. Formula used:

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Q: The radius of a sphere decreases at a rate of 4 m/s. when the radius is 7 m, then the rate at which…

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Q: The radius r and height h of a cylinder are changing with time. At the instant in question, r = 3…

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Q: The height of a triangle is increasing at a rate of 2 [cm/min] and its area at a rate of 2 [cm²/…

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A: To find the instantaneous rate of change:

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Q: Suppose a snowball remains spherical while it melts, with the radius r shrinking at 3 inch(es) per…

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Q: A flag is raised vertically from a pole at a constant rate of 1 m/s. A point B on the ground is…

A: solution:- draw a right angle triangle:-