The height of a cylinder is decreasing at a constant rate of 4 centimeters per second. The volume remains a constant 17 cubic centimeters. At the instant when the radius of the cylinder is 11 centimeters, what is the rate of change of the radius? The volume of a cylinder can be found with the equation V=\pi r^2 h.V=πr2h. Round your answer to three decimal places.

Q: The height of a rectangle is increasing at a rate of 11 cm/hr and the width of the rectangle is…

A:

Q: A thin sheet of ice is in the form of a circle. If the ice is melting, at what rate is the radius…

A: Given a thin sheet of ice is in the form of a circle. And the area is 12 square inches.Let the area…

Q: The top of a ladder slides down a vertical wall at a rate of 0.675 m/s. At the moment when the…

A: Let y be height of wall upto ladder and x be distance between bottom of wall and bottom of ladder…

Q: A sloth is 7 feet east of a fire hydrant and begins to walk south at a rate of 1.7 feet per hour.…

A:

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A: Given query is to find the rate of change of area.

Q: The rate at which bacteria multiply is proportional to the instantanous N numbers present. If the…

A:

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

A:

Q: The volume of a cube is decreasing at a rate of 24 cubic inches per minute. At the instant when an…

A: Given that  The volume of a cube is decreasing at a rate of 24 cubic inches per minute.…

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A:

Q: A light is hung 6 meters above a straight horizontal path.  If a man 2 meters tall is walking toward…

A:

Q: A square has a side length that is decreasing at a rate of 8 cm per second. What is the rate of…

A:

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: The width of a rectangle increases at a rate of 2 cms. The length is five times its width. Find the…

A:

Q: the area of a circle is decreasing at a constant rate of 181 square centimeters per second. at the…

A: Given, dAdt=181cm2sec now we know area of circle is: A=πr2 now derivate both side w.r.t t…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: Let height of triangle = h Base = b Then, we are given that:

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A: Rate of change

Q: boy 5 feet tall walks at a rate of 3 feet/sec towards a streetlamp that is 12 feet above the ground.…

A:

Q: One leg of a right triangle is always 6 centimeters long, and the other leg is increasing at a rate…

A: Topic:- application of derivatives

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A: The length of a rectangle is 11 meters and the width is 20 meters. The length is increasing at a…

Q: when its height is 6 centimeters.

A: Given that: The height of an equilateral triangle is decreasing at a rate of 0.5 centimeter per…

Q: Suppose an equilateral triangle has edges of lengths x. As the lengths of the edges increase, the…

A: Given An equilateral triangle, Area increase=(3^0.5)/2

Q: lamppost 6 m high at the rate of 1.3 m/sec. At what rate is the end of the person’s shadow moving…

A:

Q: If I am blowing up a balloon at a rate of 3 cubic feet per minute, what is the rate of change of the…

A: Since, it is given that a person is blowing up a balloon at a rate of 3 cubic feet per minute, then…

Q: A patient's blood is traveling at a rate of 16 mL/sec while conveying a medicine into the liver and…

A: so, initially, liver is full at t = 0, but has no medicine,  medicine rich blood comes in, mixes…

Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

A: Given that increasing altitude of the triangle dh=2cm/min The increasing area of the triangle dA =…

Q: In the first few weeks after birth, a baby gains weight at a rate proportional to its weight. A baby…

A: Introduction: Differential Equation packages are beneficial in each educational and realistic…

Q: A car travelling north at 60 mph and a truck travelling east at 45 mph leave an intersection at the…

A:

Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A:

Q: What will be the rate of change of the surface of the sphere when the radius of the sphere is 5.00…

A: Given; Radius= 5cm And time rate of change in Radius is= π/2.

Q: A right triangle has legs of 27 inches and 36 inches whose sides are changing. The short leg is…

A: Given that  Right triangle has  AB = 27 inches  BC = 36 inches Rate of change of short leg i.e. 27…

Q: Charley stands 34 meters west of Robert. Robert starts walking north at a speed of 2 m/s, and…

A:

Q: Suppose the side of a cube is decreasing at a rate of 2 feet per hour. What is the rate of change of…

A: Given: ds/dt=2 side=4ft

Q: As a result of a heavy rain, the volume of water in a reservoir increased by 1400 acre-ft in 24…

A: Given:The volume of the water in the reservoir is increased by  in 24 hours.Convert the time t =24…

Q: The length of the rectangle is increasing at a rate of 5 centimeters per second, and its width is…

A:

Q: The radius of a circle is increasing at a constant rate of 0.2 meter per second. What is the rate of…

A: Given Where r is radius. and

Q: The length of one side of a rectangle is always three times the length of the other side. At what…

A: Given that, The length of the one side of a rectangle is always three times the length of the other…

Q: A helicopter flies parallel to the ground at an altitude of 1/2 kilometer and at a speed of 2…

A:

Q: The volume of a cube is increasing at a constant rate of 547 cubic centimeters s 6 centimeters, what…

A:

Q: A man is driving a car at a speed of 45 kph along a straight line passing 20 m in front of a 15 m…

A:

Q: triangle

A:

Q: The radius of a right circular cone is increasing at a rate of 3 inches per second and its height is…

A:

Q: If an object is shot upward from the ground with an initial velocity of  v0  feet per second, then…

A:

Q: A square has a side length that is decreasing at a rate of 14 feet per minute. What is the rate of…

A: Rate of decreasing of side of square is 14 feet per minute. To find rate of change of area of the…

Q: A rectangle has an area that is decreasing at a rate of 541 square inches per hour with the width…

A: We have to find rate of change of length .Information is given below:Area is negative because it is…

Q: The radius of a right circular cylinder is increasing at the rate of 3 inches per ninute and the…

A: Given:The rate of change in radius =3 in/mThe rate of change in height =4 in/mThe radius =9 The…

Q: A rectangle has a length that is increasing at a rate of 16 mm per second with the width being held…

A:

Q: Mohamad Salah poured orange juices into a cylindrical red tank whose height = of its radius. If the…

A: We have to find rate of change of Radius.