At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 5 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 7 feet high?

Q: At JCS Construction Plant, cement mixture is falling off a metal conveyor and onto an inverted…

A: Given: Cement mixture is falling off a metal conveyor and onto an inverted conical pile at a rate of…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 8…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

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Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A: Side of a cube decrease at rate of 7m/s Rate of change in volume?

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

A: Given: Rate of change of volume = 10ft3/min Diameter of the base of the cone is approximately three…

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: dv/dt = 45 cm3/second side is 2 cm height is 5 cm side/height = 2/5 side (s) = 2h/5 volume of…

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

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Q: A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

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Q: A man cruises his new model Ferrari north 8 mi and then turns east at 12 mi/hr. At what rate was his…

A: Explained below

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate (in…

A: Topic:- application of derivatives

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in…

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Q: The side of a cube increases at a rate of 10m/sec,then the rate at which the area of the cube…

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Q: An inverted conical tank with a height of 6 feet and a diameter of 4 feet that was filled with water…

A: It is given that, the height and diameter of the conical tank is 6 feet and 4 feet, respectively.Let…

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A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

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Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: The volume of the pyramid is                        V=13Bh Where B is the area of the base…

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

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Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

A: Given: Perpendicular distance between station and plane is 5,000 km To find rate of distance of…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

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Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic bị b2 centimeters per…

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Q: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

A: Jamal is flying a kite on a string, and it is 100 ft above the ground. At the point that Jamal has…

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 16…

A:

Q: A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

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Q: An inverted cone is partially filled with water, as shown below. The radius of the inverted cone is…

A: Volume of a cone is V=1/3 πr2 h We have given radius 16 mm and height 18 mm. Express radius in terms…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

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A: We want to find the rate (in centimeters per minute) at which the length of a side is decreasing…

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

A:

Q: The side of a cube decreases at a rate of 7 m/sec. Find the rate at which the volume changes, when…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2…

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Q: The fixed sides of an isosceles triangle are of length 6 cm. (See the figure.) If the sides slide…

A: Given: The fixed sides of an isosceles triangle are of length 6 cm and the sides slide outward at a…

Q: An inverted pyramid is being filled with water at a constant rate of 35 cubic centimeters per…

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Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per…

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

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Q: A searchlight, 1/2 mi from a straight shore, rotates at the rate of 2 rev/min. How fast is the spot…

A: Let the angle formed by line AB with the line AC is x  in the triangle ABC,   So, from the tangent…

Q: An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per…

A: Given inverted square pyramid has length of square base b=2 cm and height h=5 cm Water is being…

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Q: A duck is 6 feet north and 8 feet east of a buoy. He is swimming due east at a rate of 3ft/sec. How…

A: Consider the value of x=3ft/sec. A duck is 6 feet north and 8 feet east of a boy. We have to find…

Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per…

A: We know, Volume of a figure = Area of a base × Height

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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/…

A: It is given that height of triangle is increasing with a rate 2 cm/min and area with a rate 2…

Q: . A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.