2. These problems deal with pumping water out of a tank. Use the fact that the density of water is 9800 N/m³ in metric units and 62.5 lb/ft³ in Imperial units. Assume for each problem, we only need pump the water up to the top of the tank (or the top of the spicket if it has one) where it will flow out on its own from there. (a) A circular tank has a radius of 3 feet and is 5 feet tall. If the tank is filled with water, how much work is required to pump all the water out? (b) An aquarium is 10 m long, 9 m wide and 6 m deep. The water is filled up to the 5 m mark. Find the work needed to pump all the water out of the aquarium, up to the top of the tank. 12 ft (c) A tank in the shape of a wedge (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. (d) A tank in the shape of a sphere (see the illustration at right) is filled with water. Find the work needed to pump all the water out through the spicket shown. T 1 T10R Im m

Q:

A: Step 1: To find the load that would stretch the spring 6 cm, we can use the concept of direct…

Q: 2. A cylindrical can is designed to hold16n cubic inches of soup (approximately 28 ounces h for…

A: In this question we will use basic of calculus i.e concept of maxima and minima. We will use the…

Q: . A pump extracts the oil from a well at a depth of 975 M and raises it to a reservoir located at…

A: Well depth = 975 m Reservoir location = 48 m

Q: A fisherman and his boat weighs 352 Ib. If the force exerted by the wind in the direction of motion…

A: Given problem is : A fisherman and his boat weighs 352 lb. If the force exerted by the wind in the…

Q: The trough shown below has a length of 3.8 m. All cross-sections parallel to the vertical ends are…

A: We have to find the volume and depth of the water.

Q: 3. Gina has one-third scale model of a three-dimensional solid, meaning that all lengths of the…

A: The volume of a differential cube of differential  dimensions say breath,lengths  and height dx,dy…

Q: 8. A spring has a natural length of 10 cm. It takes 2J to stretch the spring to 15 cm. How much work…

A:

Q: 192° 172.8 T feet? P is the center of the circle. diameter of OCircle P.

A:

Q: 4. Determine the volume of grain that can be stored in the silo. 28 5. Determine the surface area of…

A: Given query is to find the volume and surface are of silo.

Q: . A particle moves along a curve so that its position at time t≥ 0 is given by x (t) = e 2t and y(t)…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Length = %3D 8 cm Width = %3D Height = %3D 2 cm 4 cm Volume =

A: Given a cuboid: Length=4 cm Width=2 cm Height=8 cm

Q: .  A mixing blade on a food processor extends out 2 inches from its center. If the blade is turning…

A:

Q: The density of pure iron is 7.874 g/cm.A piece of steel made of pure iron and other types of iron is…

A: Given data is : Density of pure iron ρ1=7.874 g/cm3