Water is flowing at the rate of 15 km per hour through a pipe of diameter 14 cm into a rectangular tank which is 50 m long and 44 m wide.Find the time in which the level of water in the tank will rise by 21 cm

Q: each side of a square increases at a rate of 1.5cm/sec .also find the rate at which the area of the…

A: Given,   Each side of a square increases at a rate of 1.5 cm/sec

Q: Water is leaking out of an inverted conical tank at a rate of 12000.0 cm3/min at the same time that…

A: Given, Water is leaking at a rate of  12000 cm3/min Height of the tank is 9 m which is same as  900…

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

A: Let us take any height h in the inverted pyramid. For height h the length of the sides of the…

Q: Water is draining from a cylindrical tank of water at a rate of 3 m / min . If the radius of the…

A:

Q: Water is being poured at a rate of 10 cubic meters per second into a cylindrical tank of radius 4…

A: Given that , Rate of water pumped in tank=10m3/sec=dV/dt Radius of tank = r=4m Height /Altitude of…

Q: Air is being pumped into a spherical balloon at a rate of 5 cubic centimeters per minute. Determine…

A: Given : The air is pumped into a balloon at a rate of 5 cm3/min The diameter of the balloon is 20 cm

Q: The volume of a sphere is.5 increasing at the rate of 3 cubic centimeters per second. Find the rate…

A:

Q: Water is flowing at the rate of 9 ft3/min into a tank that is in the shape of a right circular…

A: Let r be the radius of base of cylinder, then r=2 ft .Let h be the height of water level at any time…

Q: Suppose that 2 Joules of work is needed to stretch a spring from its natural length of 40 cm to a…

A:

Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…

A: Given,dAdt=-4 cm2/minA=100cm2Let,x=side of the equilateral triangle find dxdt when dAdtis decreased…

Q: Water is being poured at the rate of 2z m' /min into an inverted conical tank that is 12-meter deep…

A: We need to find rate of water leaking.

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

A: The given question can be depicted as follows:Now, the volume of a cone is given by V = 13πr2h

Q: An eagle flying horizontally at an altitude of 6 m and speed of 4 m/s passes over a beaver standing…

A:

Q: A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the…

A: Many real-life problems can be modeled using differential equations. This is one of the significant…

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

A:

Q: Water flows at the rate of 2000 cibic cm per second into a verical cylindrical tank 120 cm in…

A: Given: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm…

Q: A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running…

A: It is given that a baseball diamond has the shape of square with side 90 feet long. Construct the…

Q: A plate in the shape of an equilateral triangle expands with time. The length of a side increases at…

A:

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: Air is being pumped into a sperical balloon so that its volume increases at a 12. rate of 16 cubic…

A:

Q: The side of an equilateral triangle is increasing at the rate of 3 cm/s. What is the rate at which…

A: We can solve the given problem by using the following concept of differentiation. Let f(x) be the…

Q: A man drives at a rate of 25 kph towards the foot of an 8-m tall monument. At what rate is he…

A: Topic = Algebra

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

A: Let x be the distance batter runs  and D is the distance between the second base and the batter Lets…

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given: dVdt==55, side length b0=4 and height h0=11. To find: dhdt, when h=2.

Q: Water is flowing at the rate of 6 ft/min into a tank that is in the shape of a right circular…

A: Given data:   The rate at which water is flowing in the cylindrical tank is dV/dt =6 ft3/min. The…

Q: a 50 feet ladder is leaning against a wall of a building supose the base of the ladder slides away…

A:

Q: A water trough is 8 feet long, and its cross section is an equilateral triangle with sides 4 feet…

A: (a) Height of an equilateral triangle of side length s, is given by, h=3s2 ft

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: A bucket that weighs 4 lb and a rope of negligible weight are used to draw water from a well that is…

A:

Q: A tank with capacity of 2000 litre originally contains 50 kg of sugar dissolved in pure water. Pure…

A: The initial amount of the sugar in the water is x (0) = 50 kg   The pure water is entering into the…

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg…

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at…

Q: A reservoir is 80m long and its cross section is an isosceles trapezoid having equal sides of 10m,…

A: Given that the reservoir is 80m long whose cross-section is an isosceles trapezoid with sides of…

Q: The area of a rectangle remains 30 cm2. One side of the rectangle is expanding at a rate of 1 cm/s.…

A:

Q: water is running out of a conical funnel at the rate of 1 cu inches per second. If the radius of the…

A: This question is related to application of derivatives.

Q: gas is escaping a spherical ballon at the rate of 4cm per minute . how fast is the surface area…

A: Given that, Gas is escaping a spherical balloon at the rate of 4 cm per minute. The objective is to…

Q: gallon is poured into the tank at a rate of 2 gal/min, while the well-stirred mixture leaves the…

A:

Q: A 26 foot ladder is sliding down a vertical wall.  The base of the ladder is sliding away from the…

A:

Q: A baseball diamond is a square with with side 90 feet (between the bases). A batter hits the ball…

A: Roughly draw the situation first Where x= Distance covered by batter at time t D= Distance of the…

Q: Water is leaking out of an inverted conical tank at a rate of 13000.0 cm^3/min at the same time that…

A:

Q: How many kilometers can a train moving at an average velocity of 25 m/s southwest be displaced in 2…

A: Given, average velocity of train = 25 m/s 2 hours = 2x60x60 = 7200 seconds

Q: A worker on a scaffolding 85 feet above the ground needs to lift a 115 pound bucket of cement from…

A:

Q: Water is flowing at the rate of 3 km/hr theough a circular pipe of 20 cm internao diameter into a…

A: Radius of pipe : r = 20/2 = 10cm = 0.1 m Area of pipe : A = πr2 = 0.01π m2. Volume flow in one hour…

Q: Water is spilling out at a rate of 10,000TT cm³/minute from an inverted tank shaped like a cone,…

A:

Q: A gas line-driven lawnmower has a blade that extends out 1 foot from its center. The tip of the…

A:

Q: (a) Water flows from a storage tank at a rate of 900 – 6t liters per minute. Find the amount of…

A: This question is related to calculus . solve in step 2.

Q: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm in…

A: Let height of cylindrical tank is "h". Diameter is 120 cm. So, Radius would be r=1202=60 cm Volume…

Q: Water is pouring into an inverted cone at the rate of 8 cubic meters per minute. If the height of…

A: Given: Water is pouring into an invented cone at the rate of 8 cubic meters per minute. Height of…

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.