A spherical balloon is to be inflated so that its volume increases at a rate of 800m cm'/min. How fast is the diameter increasing at the end of 5 minutes?

Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 2 m3/min. How fast is the…

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Q: A balloon is being inflated by pumped air at the rate of 2 cubic inches per second. How fast is the…

A: Given: Rate at which air is pumped in the balloon=2 cubic inches per second……1   To find: Rate of…

Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 3 m³/min. How fast is the…

A:

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 at a rate such that it's radius increases at a rate of 500…

A: rate of change in volume = 307876.08 detailed solution with explanation is given below

Q: A 13 foot ladder leaning against a wall is pulled away from the wall at a constant rate of 3ft/s and…

A: Given,         A 13-foot ladder leaning against a wall is pulled away from the wall at a constant…

Q: A 13-foot ladder rests against a vertical wall. If the bottom of the ladder slides away from the…

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Q: A water tank in the shape of an inverted cone is being filled up with water at a uniform rate of…

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Q: The volume of a right circular cylinder is 60 cm3 and is increasing at 2 cm3/min at a time when the…

A: First we have to differentiate expression of volume with respect to time.

Q: A small balloon is released at a point 60 feet away from an observer, who is on level ground. If the…

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Q: Water is injected into a ball-shaped container of radius RR at a rate of 2 cm^3 per second. How fast…

A: Radius of spherical ball is R. Rate change in volume is 2 cubic centimeters. Mathematically, dVdt=2…

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

A: Given Data: The radius of the cylindrical tank is: r=5 m The rate of increase in volume is: V'=3…

Q: Suppose an elastic rubber band is used to make a square, and is being stretched (while keeping the…

A: An elastic rubber band is being stretched (while keeping the square shape) at the rate of 2 inches…

Q: A water tank is in the shape of a right circular cylinder with height of 4 meters and radius of 2…

A: This question is related to application of derivative, we will solve it using given information.

Q: A spherical balloon is inflated with gas at a rate of 10 cubic metres per minute. How fast is the…

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Q: A spherical iron ball 10 in. in diameter is coated with a layer of ice of uniform thickness. If the…

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Q: Oil from an uncapped well is radiating outward in the form of a circular film on the surface of the…

A: Let r and A be the radius and area of the circle respectively at time t. The radius of the circle is…

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: A 6-ft-diameter cylindrical tank is filled with water to a height of 10 ft. It is drained such that…

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Q: A cylindrical tank of radius 10 feet is being filled with wheat at the rate of 314 cubic feet per…

A: consider the radius of a cylindrical tank by r. The volume of a cylindrical tank is given as V. The…

Q: A spherical balloon is being inflated at a rate of 20 cubic centime- ters of air per second. How…

A: We will use chain rule and the information provided.

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 2 m3/min. How fast is the…

A:

Q: Two parallel sides of a rectangle are being lengthened at the rate of 20 mm/sec, while the other two…

A: Let the sides of rectangle be x and y   since, two parallel sides are increasing at the rate of…

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: Given : The radius of the cylindrical tank is 3 m. Water is filled at a rate of 4 m3/min

Q: 4. A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m3/min. How fast is…

A: We know  (V) volume of cylinder =πr2h. r= radius of cylinder h= height of cylinder  V= volume 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…

A:

Q: Two parallel sides of a rectangle are increasing in length at the rate of 2 in/sec while the other…

A: Given: The two parallel sides of a rectangle are increasing in length at the rate of 2 in/sec. The…

Q: A 13 foot ladder is leaning against a wall. If the top of the ladder slips down the wall ata rate of…

A:

Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 2 m/min. How fast is the…

A:

Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A:

Q: A cylindrical tank with radius 8 m is being filled with water at a rate of 3 m3/min. How fast is the…

A: It is known that the volume of the cylinder is V=πr2h where r is radius and h is height. Given that…

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

A:

Q: When a circular metal plate is heated in an oven, its radius increases at the rate of 0.02 cm/min.…

A:

Q: A spherical balloon is increasing in volume at 24t Cm . How fast is the radius ст S. of the balloon…

A:

Q: Air is pumped into a spherical balloon so that its volume increases at a rate of 100 cm /s. How fast…

A: d[r^n]/dr = n r^(n-1)

Q: When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01 cm…

A: Given:When a circular plate of metal is heated in an oven, its radius increases at the rate of 0.01…

Q: The two equal sides of an isosceles triangle with fixed base b are b are decreasing at the rate of 3…

A: Solution :-

Q: A 20-foot ladder is resting against a wall. The base is being pulled away from the wall at a rate of…

A:

Q: A cylindrical tank with radius 5 m is being filled with water at a rate of 2 m3/min. How fast is the…

A:

Q: A small balloon is released at a point 150 feet away from an observer who is on level ground. If the…

A: we have to find

Q: A liquid is flowing into a vertical cylindrical tabk of radius 6 ft at the rate of 8 ft³/min. How…

A: r=6 ft  &  dVdt=8 ft3min,  where r is the radius, V is the volume at any time t. Let h be the…

Q: A cylindrical tank with radius 6 m is being filled with water at a rate of 4 m3/min. How fast is the…

A: From the given information it is given that:Radius of cylindrical tank(r) = 6mRate at which the…

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

A:

Q: A cylindrical tank with radius 5m is being filled with water at a rate of 4 m^3/min. How fast is the…

A: Given:         radius of cylinder (r)=5m         rate of water filled dvdt=4m3/minwe know that…

Q: A circular disc of radius 3 cm is being heated. Due to expansion, its radius increases at a rate of…

A:

Q: Suppose an elastic rubber band is used to make a square, and is being streched (while keeping the…

A:

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

A:

Q: Air is being pumped into a spherical balloon so that its volume increases at a rate of 50 cm3/s. How…

A: Let radius of the balloon is =r and diameter =d=30 cm It is given that Volume increases at rate…

Q: The base of a 20-foot ladder is sliding toward a wall at a rate of 1.5 feet per second. How fast is…

A: We solve the above problem.