ning out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel is 40 mm and the altitude is 80 mm, find the rate at which the water is dropping

Q: A car is traveling at 88 ft /s when the brakes are fully applied, producing a constant deceleration…

A: Solve for the distance

Q: A 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that weighs 4 oz/ft.…

A: Given that, a 3 lb bucket containing 20 lb of water is hanging at the end of a 20 ft rope that…

Q: A baseball is thrown straight downward with an initial speed of 40 ft/s from the top of the…

A: Let t be the time taken by the ball to reach the ground and the velocity of the ball is v. Now, the…

Q: Water is leaking out of an inverted conical tank at a rate of 14700.0 cm3/min at the same time that…

A:

Q: A closed cylindrical tank of circular cross-section has a radius of 2 ft. and a height of 6 ft. Use…

A: Radius = 2 ft Height = 6 ft dr = 1 inchdr =112 ftdh = 1 + 1 (top+bottom)dh = 2 inchdh = 212 ft

Q: Water is leaking out of an inverted conical tank at a rate of 10000.0 cm3/min at the same time that…

A: Given that, diameter is 5.5 m which is equivalent to 550 cm.. Therefore, radius is 5502=275 cm.…

Q: The ice cream in a sugar cone (conically shaped) has all melted and is dripping out a hole in the…

A: To express r in terms of h, use the the ratio between the height and radius of the cone is constant…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 16 cm/min.…

A:

Q: A right cylindrical can has a radius and height of 50 and 120 cm, respectively. Find the approximate…

A: Let  r  and h be the radius and height of the cylinder .Then the volume of the cylinder  V(r,h) =…

Q: A right-circular conical tank, point down, with top radius 5 ft and height 10 ft is filled with a…

A: Given A right-circular conical tank, point down, with top radius 5 ft and height 10 ft is filled…

Q: Water is being pumped (at a constant rate of 7 ft3 per minute) into an upside-down circular cone…

A:

Q: A cylindrical tank 10 ft high and 5 ft in radius is standing on a platform 50 ft high. Find the…

A: volume of cly slab=dv   dv=π(5)2dy        =25π dyweight of slab = Swater g dv=Swg(25πdy)

Q: An inverted conical tank with a height twice its diameter can hold water up to 1000 gal. A 2"-radius…

A: Given that the height h of the conical tank is twice its diameter. Then h=4r⇒r=h4. The volume of the…

Q: conical container of radius 7ft and height 28ft is filled to a height of 24ft with a liquid weighing…

A:

Q: The radius of a ball is claimed to be 4.5 inches, with a possible error of 0.05 inch. Use…

A: Given that,radius (r) = 4.5 inches, dr=0.05Surface area of ball is A = 4πr2= 4π(4.5)2 =4π x(20.25)A…

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

A: Sol

Q: Water is leaking out of an inverted conical tank at a rate of 11800.0 cm/min at the same time that…

A:

Q: A water tank has the shape of an inverted circular cone with base radius 2 m and height 4 m. If…

A:

Q: A system of storm severs in a coastal city is designed to capture water runoff during heavy rains…

A:

Q: Water is running out of a conical funnel at the rate of 1000 cu mm/sec. If the radius of the funnel…

A: The volume of a cone is one-third of the volume of a cylinder, so the formula for the cone is given…

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: 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: 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: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. When…

A: Gas is being pumped into a spherical balloon at the rate of 10 cubic inches per second. The diameter…

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: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

A:

Q: A water trough has a semicircular cross-section with a radius of 0.25m and a length of 3m how much…

A:

Q: Water is being poured at the rate of 27 m²/min. into an inverted conical tank that is 12-meter deep…

A:

Q: If a hemisphere bowl of radius 6 cm contains water to a depth of x cm, the volume of the water is rx…

A: This question is related to application of derivatives.

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: a water tank has the shape of an inverted circular cone with a base radius of 2m and a height of 4m.…

A:

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: Water is leaking out of an inverted conical tank at a rate of 6000.0 cm3/min at the same time that…

A: It is given that the height of the tank is h = 10.0 m and the diameter at the top is 6.0 m, that is,…

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

A: This question can be solved using the concept of rate of change of physical quantities.

Q: g. Water is being poured at the rate of 5 m³/sec into an inverted conical tank of radius 10 m and…

A: Given conical tank: Rate at which water poured=5 m3/sec……1Radius=10 mAltitude=20 m   To find: Rate…

Q: A hemispherical tank full of water is emptied by a pipe at the rate 3 4/7 liters per second. How,…

A:

Q: A water tank has the shape of an inverted circular cone (point down) with a base of radius 6 feet…

A: solution:- we have to find dh/dt?

Q: A new carpet will arrive at the home rolled up in a cylinder. It will cover the entire floor. Given…

A: Given :Radius = 0.2 meterHight = 3 meter

Q: 4. A vertical right circular cylindrical tank measures 24 ft high and is 8 ft in diameter. It is…

A: Given:The height of the right circular cylindrical tank is 24 ft and diameter is 8 ft. It is full of…

Q: A baseball diamond has the shape of a square with sides 90 ft long, as shown. A player is running…

A: A baseball diamond has the shape of a square with sides 90 feet long. A player running from second…

Q: Two cylindrical swimming pools are being filled simultaneously at the same rate in m/min. The…

A:

Q: Water pumped out of a cylindrical container at a rate of 8 cubic meters per second. If the radius of…

A:

Q: A spherical gas reservoir has a circumference of 10 ft. This reservoir is to be holed 3 feet below…

A: Given: Circumference of spherical reservoir is, C1=10 ft. Circumference of cylindrical hole is,…

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: 4. Water is draining from a cylindrical tank at 2.52 L/sec. Assume that the water tank has a…

A: Given: Water is draining at a rate of  2.52L/sec=2520 cm3/sec The water tank has a diameter of 50…

Q: A cylindrical tank, shown to the right, has height 8 m and radius 3 m. Suppose the water tank is…

A: Here, the density of water  ρ=1000 kg/m3&g=9.8 m/s2 Here, the radius of the cylindrical tank is…

Q: A horizontal cylindrical tank of length 15 m and diameter 2 m is half-full of water. How much work…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A:

Q: 2. Soybeans, pouring down from a chute at a constant rate of 2 m3/min, form a conical hil. Assuming…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.