A conical tank has height 9 m and radius 4 m at the base. Water flows...

A conical tank has height 9 m and radius 4 m at the base. Water flows at a rate of 3 m^3/min. How fast is the water level rising when the level is 1 m and 2 m? (Use symbolic notation and fractions where needed.) When the water level is 1 m, the water level is rising at a rate of _ .When the water level is 2 m, the water level is rising at a rate of _.

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

A conical tank of diameter 6 m and height 10 m is filled with water. Compute...

A conical tank of diameter 6 m and height 10 m is filled with water. Compute for the work needed to pump all the water 2 m above the tank. The water has a density of 1000 kg per cubic meter.

a) A full conical water tank has height 3 m and diameter across the top 2...

a) A full conical water tank has height 3 m and diameter across the top 2 m. It is leaking water at a rate of 10,000 cm^3 per minute. How fast is the height of the water decreasing when the volume of water is 3,000,000 cm^3 ? b) Two planes are approaching the same air traffic control tower at equal and constant altitude. Plane A is heading due north at 200 mph, while Plane B is heading due west at...

Use proper calculus. (a) A conical shell has mass M, height h, and base radius R,...

Use proper calculus. (a) A conical shell has mass M, height h, and base radius R, Assume it is made from thin sheet of uniform thickness, Derive its center of mass and moment of inertia about its symmetry axis. (b) Derive the formula for the center of mass and the moment of inertia of a solid sphere, and then that of the moment of inertia about an axis tangent to the surface. (c) Derive the formula for the moment of...

A conical tank, point down, has a radius of 6 feet and a depth of 9...

A conical tank, point down, has a radius of 6 feet and a depth of 9 feet. Water is filling the tank and thus the volume of water in the tank is changing with time, as is the depth of the water and the radius of the surface of the water. Suppose that at the instant the depth of the water is 4 feet, the depth of the water is changing at an instantaneous rate of0.125 feet per minute. How...

A 4 m-wide tank with height of 1.8 m filled with water is pulled with a...

A 4 m-wide tank with height of 1.8 m filled with water is pulled with a cable inclined at 30o to the horizontal. The constant acceleration value in the cable direction is 4 m/s². The water depth is measured as 1.5 m before the motion starts.  Determine the angle between the water surface and the horizontal.  Compute the maximum and minimum pressure values on the bottom of the tank.  How many volume of water are spilled?

Fluid Mechanics: A water tank is a cylinder 4 m in height and 2 meters in...

Fluid Mechanics: A water tank is a cylinder 4 m in height and 2 meters in diameter. The tank is full at time to. The tank sits on a platform 12 m tall. A water tap is located at the bottom center of the tank. The tap, when actuated, opens to a pipe 5 cm in radius. a. Write down Bernoulli’s equation. Identify the Pressure, Kinetic and Potential Energy terms. Show that each has the units of an energy density...

A conical container of radius 10ft and height 40ft is filled to a height of 38...

A conical container of radius 10ft and height 40ft is filled to a height of 38 ft of a liquid weighing 62.4 lb/ft^3. How much work will it take to pump the contents to the rim? How much work will it take to pump the liquid to a level of 2 ft. above the cone's rim?

Water is being pumped into a leaky inverted conical tank at a rate of 10 m^3/h....

Water is being pumped into a leaky inverted conical tank at a rate of 10 m^3/h. The tank has a height of 9 m and the diameter at the top is 6 m. If the water level is rising at a rate of 0.2 m/h when the height of the water is 6 m, how fast is the water leaking out at that time?

4 m3/s of water flows in a Rectangular channel with base width 3 m, base slope...

4 m3/s of water flows in a Rectangular channel with base width 3 m, base slope J= 0.0016 and roughness coefficient K= 80. a) find the normal depths and critical depth of the current. B) determine the current regime. roughhness coefficient given 80

A tank has the shape of a sphere with a radius of 5 m. It is...

A tank has the shape of a sphere with a radius of 5 m. It is filled with water up to 9 m. (i) Let x be the height in meters measured from the bottom of the tank. The weight in Newtons of a thin layer of water between x and x + Δx is approximately P (x) Δx. What is P (x)? P (x) = Express the answer by a formula. Recall that the density of water is ρ...

Subjects