A spherical balloon is inflated so that its volume is increasing at the ft3 rate of 7 min the radius is 2 ft? -. How fast is the diameter of the balloon increasing when NOTE: Enter the exact answer. ft Rate of change of the diameter= min

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Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the…

A: The radius of the cylindrical tank is:  r = 3 m Volume of cylinder changes at a rate of 4 m3/min.…

Q: A spherical balloon is inflated so that its volume is increasing at the ft3 rate of 3 min How fast…

A: As we know that the volume of sphere is: v=43πr3 or v=43πd23 ....We know: r=d2 Where, r  is the…

Q: a) A cylindrical tank with radius 6 cm is being filled with water at a rate of 4 cm³/sec. How fast…

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Q: The volume of a cantaloupe is approximated by V = ar. The radius is growing at the rate of 0.4 cm/…

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Q: A spherical balloon is inflated so that its volume is increasing at the ft3 rate of 8. How fast is…

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Q: A spherical balloon is being filled with air at the constant rate of cm ст 2. How fast is the radius…

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Q: Oil spilled from a ruptured tanker spreads in a circle whose ar mi? How fast is the radius of h…

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Q: N. 3. A spherical balloon is inflated so that its volume is increasing at the rate of 3 ft min How…

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Q: Water is pumped into a cylindrical tank which is 5m/tall, and has a radius of 1m (with the flat…

A: Given, Height of the cylindrical tank is 5 m. Radius of the cylindrical tank is 1 m. Water is pumped…

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 4 m³/min. How fast is the…

A: Find your answer below

Q: 3. Pancake batter is poured into pan to form a circular pancake whose area increases at the rate of…

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Q: A spherical balloon is inflated so that its volume is increasing at the rate of 7 ft3 How fast is…

A: As we know that the expression for the volume of the sphere is: v=43πr3orv=43πD23....We know: r=D2…

Q: A spherical balloon is inflated so that its volume is increasing at the ft3 How fast is the diameter…

A: Consider the volume  of balloon is V  radius is r and diameter is d

Q: A 20 foot ladder is resting against the wall. The bottom of the ladder is being pushed towards the…

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Q: A spherical balloon is deflating at a rate of 0.57 in /sec. How fast is the radius changing, in…

A: Let  The radius of the sphere is r. Volume of the sphere is  V=43πr3 Differentiate the volume with…

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2.7 ft/minl. How…

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Q: A spherical balloon is being filled with air at a constant rate of 2 cm/sec. How fast is the radius…

A: We use the derivative of the volume of a sphere. Volume of a sphere  V = 43πr3 Rate of change of…

Q: A 50-ft ladder is placed against a building. The top of the ladder is sliding down the building at…

A: Here the length of the ladder = 50-ft let the distance between the foot of ladder and foot of…

Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 2 m³/min. How fast is the…

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Q: cylindrical tank with radius 5m is being filled with water at a rate of 3m3/min. How fast is the…

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Q: A spherical balloon is inflated so that its volume is increasing at the ft3 How fast is the diameter…

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Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

A: Area of circle of radius r inA=πr2→dAdr=2πrdrdt→2πrdrdt=6      [∵dAdr=6cm2/sec]    -(1)

Q: A spherical balloon is inflated so that its volume is increasing at the ft rate of 5- min How fast…

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Q: When I circular played in metal is heated in the oven it’s radius increases at a rate of 0.01…

A: We use application of derivatives to find rate of change of area of circle.

Q: 5. The sides of a square are increasing at a rate of 10 cm/sec. How fast is the area enclosed by the…

A: Solution

Q: A cylindrical tank with radius 7 m is being filled with water at a rate of 3 m/min. How fast is the…

A: Formula for volume of cylinder:      V=πr2h

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 spherical balloon is inflated so that its volume is increasing at the ft3 rate of 3. How fast is…

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Q: ow fast is the radius changing when the diameter of the balloon is 50 cm?

A: Given: A spherical balloon is inflated at a rate of 1000 cm3 /sec . Diameter of the balloon = 50 cm

Q: The area of a circle increases at a rate of 6 cm /s. a. How fast is the radius changing when the…

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Q: A spherical balloon is inflated with helium at a rate of 1407z ft/min How fast is the balloon's…

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Q: 4. Water flowing in a conical tank 20 ft deep and 10 ft across the top at the rate of 15 cu. ft/…

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Q: A spherical balloon is inflated so that its volume is increasing at the ft3 rate of 3 min How fast…

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Q: " Sand is being sifted onto a conical pile at the rate of 0.3 ft/sec. It was also observed mat at…

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Q: A spherical balloon is inflated so that its volume is increasing at the ft3 How fast is the diameter…

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Q: Water is leaking onto a floor. The resulting circular pool has an area that is increasing at the…

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Q: 5. Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile…

A: Solution ) dv/dt = 25 ft3/ sec  h = d/4  d = 4h  [ d = r/2 ] r/2 = 4h  r = 2 × 4h  r = 8h  h = 5…

Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the…

A: Topic - Application of derivatives Volume of sphere=43πr3 where r is the radius of sphere

Q: Water is falling on a surface, wetting a circular area that is expanding at a rate of 10mm^2/s. How…

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Q: The area of a circle increases at a rate of 3 cm^2 per second. Find a) how fast is the radius…

A: Given information:The area of a circle increases at a rate of 3 cm square per second

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2.5 ft/min. How…

A: Given :—dVdt=2.5 ft3/minD=1.8 feet

Q: The volume of a cantaloupe is approximated by V=ar. The radius is growing at the rate of 0.5…

A: given r=6.3 cm drdt=0.5 cm/week

Q: The radius of a circular oil slick expands at a rate of 2 m/min. (a) How fast is the area of the oil…

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Q: Water at the rate of 10 cm3/ min is pouring into the leaky cistern whose shape is a cone 16 cm. deep…

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Q: 2. The diagonal of a square increases at the rate of 3 m/sec. How fast is the area changing when the…

A: Let the length of diagonal be y. so that, Now, Length of the side of a square be x. Using the…

Q: A spherical balloon is inflated so that its volume is increasing at the rate of 2.7 ft/min. How…

A: The volume of spherical balloon is increasing at the rate of 2.7 ft3/min We have to find the rate of…