Q 3. A cylindrical tank with radius 5 m is being filled with water at a rate of 1.25 m3/s. How fast is the height of the water increasing?

Q: 2. Sand is being dropped at the rate of 10ft.3/min into a conical pile. If the height of the pile is…

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Q: A balloon is being inflated. If its volume increases at the rate of 5cm^3/sec, how fast is the…

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Q: 3. The radius of a spherical balloon is increasing at the rate of 2 cm per minute. How fast is the…

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Q: (a) A barrel shaped like a hemisphere of radius r dm, filled with a liquid as high as h dm. Get the…

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Q: suppose we have a rectangular aquarium with dimenstions of length 8m.width 4m .Suppose we are…

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Q: 1. A paper cup has the shape of a cone with height 12 cm and radius 4 cm (at the top). If water is…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: A spherical balloon is inflating at a rate of 277T in³/sec. How fast is the radius of the balloon…

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Q: 1. Oil is being pumped into a huge cylindrical oil drum with diameter 3 m and length 6 m at a rate…

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Q: A spherical balloon is being filled with air at a constant rate of 3 cm3/s. How fast is the radius…

A: Let,Volume of sphere = VRadius of sphere = rRate at which the volume of sphere is increasing = dVdt…

Q: A cylindrical tank has radius 2m and height 4m. Water is being poured into the tank at the rate of…

A: Given that, Radius of cylindrical tank (r) = 2 meter Height of cylindrical tank (h) = 4 meter Rate…

Q: 1. Water is flowing at the rate of 2 m3/min into a tank in the form of an inverted cone having an…

A: It is given that the cone has altitude 16 m and radius 4 m. That is, hcone=16,rcone=4. Let r and h…

Q: A spherical balloon is inflating with helium at a rate of 192n ft° / min. How fast is the balloon's…

A: V=43πr3S=4πr2

Q: 3. A cylindrical tank of diameter 20ft is being drained with water at the rate of 400ft /min. How…

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Q: 3. Water is flowing out of a cylindrical storage tank at a rate of 2 m3/min. If the tank has a…

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Q: The sides of a square increase in length at a rate of 3 m/sec. a. At what rate is the area of the…

A: lets the size of square is l so the rate of change of length = dl/dt = 3 m/sec area of square = l2…

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m°, Imin: How fast 1.…

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Q: 7. A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

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Q: Air is being pumped into a spherical balloon so that its surface area increases at a ate of 100…

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Q: The legs of an isosceles right triangle increase in length at a rate of 6 m/s a. At what rate is the…

A: Let, l be the length of a legth of a leg of an isosceles right triangle, h be the length of the…

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=…

Q: 1. Water is poured into a conical tank 6 m across the top and 8m deep at the rate of 10 How fast is…

A: To find: The rate of water level rising when water in the tank is 5 m deep. Formula used: The volume…

Q: m Oil is running into an inverted conical tank at the rate of 37 -. If the min tank has a radius 2.5…

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Q: The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in…

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Q: Liquid is escaping from a conical funnel at the rate of 3 cm3 /min. If the top of the funnel has a…

A: Given, r= 4 cm h= 20 cm dV/dt= 3 cm³/min Therefore, r/h= 4/20= 1/5 r= h/5

Q: A cylindrical tank has a radius of 7.0 m and a depth of 17.0 m. It is being filled at a rate of 2.9…

A: Consider the given: Radius = 7 mDepth = 17 mRate at which the tank is filled = 2.9 m3/minVolume of…

Q: Sand falls from an overhead bin and accumulates in a conical pile with a radius that is always two…

A: The radius is 2 times the height, the rate at which the height increases is 3 cm/s when the pile is…

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: 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…

Q: The legs of an isosceles right triangle increase in length at a rate of 5 m/s. a. At what rate is…

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Q: 2. A pulley 4 meters from the ground is used to lift a 100 kg block. If the rate at which the block…

A: Given: The distance between pulley and the ground s1 = 4 meter The velocity of the block getting…

Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

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Q: #13 The radius of a sphecical blloon is increasing at the cate of 3inches per second, How fast is…

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Q: Suppose a spherical balloon grows in such a way that after t seconds, its volume V is given by V = 4…

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Q: 2. A 15-meter-long ladder is leaning against a wall The bottom of the ladder is pushed horizontally…

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Q: 7. A conical pile is formed by pouring sand at a rate of 30 cm/s. When its base diameter and…

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Q: A perfectly spherical balloon is losing volume at a rate of 3 in3 per sec. How fast is the balloon’s…

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Q: 3. Water is flowing out of a cylindrical storage tank at a rate of 2m/min. If the tank has a radius…

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Q: How do you solve question 1?

A: The relation between volume of a sphere and the its radius is given as, Where  V: Volume r: Radius

Q: * A 5 m pole, leaning against a wall s1ips in such a way that its base is vdun moving away from the…

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Q: A spherical snowball is melting in such a way that its surface area decreases at the rate of 1…

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Q: 2. A ladder 13 ft long rests against a vertical wall. If the bottom of the ladder slides away from…

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Q: 3) Water is running from a vertical cylindrical tank 3 m in diameter at the rate of 3ayh , where h…

A: Given, Diameter of the cylindrical tank=3m Radius of the cylindrical tank, r=32=1.5m Volume of the…

Q: A ladder 5 m long rests against a vertical wall. If the top of the ladder slides down the wall at a…

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Q: A bacterial cell is spherical in shape. If the radius of the cell is increasing at the rate of 0.01…

A: Volume of sphere: V = 43πr3, where r is radius of sphere. Surface area of sphere: S = 4πr2, where r…

Q: 12. If the volume of a spherical balloon is expanding at a rate of 5im; How fast is the 4 radius of…

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Q: 5. A cone-shaped ice cream is melting at the rate of 2cm/s in a manner that maintains its original…

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Q: A spherical balloon has a radius r that is increasing at a rate of 3 emfs. At what rate is the…

A: Given: drdt=3πcm/s   To find: dvdt when r=10

Q: The spherical balloon is being filled with air at the constant rate of ( 2cm3  ) / (sec). How fast…

A: Given: The spherical balloon is being filled with air at the constant rate of 2cm3/sec We know that,…

Q: The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is…

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Q: 3. Water is being poured at the rate of 2 7 m3/min. Into an inverted conical tank that is 12-meter…

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