the top of a cylindrical tank for gasoline is set below ground level. The axis of...
Problem 4. A cylindrical tank laying on its side is buried under the ground so that the top of it is 15 feet below ground. The tank is 12 feet long and has a radius of 5 feet. The tank is filled with gasoline which has a density of 42 pounds per cubic foot. Write a Riemann sum to approximate the work required to empty the tank. Then pass to a limit and find the work that would be required.
All these answers are wrong (1 point) A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 1 meter, its length is 8 meters, and its top is 5 meters under the ground, find the total amount of work needed to pump the gasoline out of...
The conical tank (inverted – think of an ice cream cone) with height of 5 ft and the top base radius of 3 ft is fully filled with gasoline weighing 42 lb/ft?. How much work does it take to pump the gas to the level 2 ft above the cone's rim? (Imagine the top of the tank is 2 ft below the ground and you want to pump gas to the ground level).
(10 pts) 2. The conical tank (inverted – think of an ice cream cone) with height of 5 ft and the top base radius of 3 ft is fully filled with gasoline weighing 42 lb/ft?. How much work does it take to pump the gas to the level 2 ft above the cone's rim? (Imagine the top of the tank is 2 ft below the ground and you want to pump gas to the ground level).
(1 point) A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other words, the tank is not standing vertically on one of its flat ends.) If the radius of the cylinder is 1 meter, its length is 5 meters, and its top is 3 meters under the ground, find the total amount of work needed to pump the gasoline out of the tank. (The density of...
Water in a vertical cylindrical tank of height 29 it and radius 4 ft is to be pumped out. The density of water is 62.4 lb/R. (6) The tank is full of water and all of the water is to be pumped over the top of the tank. Find the approximate work for the slice as shown. Use Delta or A from the CalcPad. Leave in your answer. 32118.5281 ( 29 - y) Ay Find the endpoints for the integral...
A large cylindrical water tank is mounted on a platform with its central axis vertical. The water level is 3.75 m above the base of the tank, and base is 2.00 m above the ground. A small hole 2.22 mm in diameter has formed in the base of the tank. Both the hole and the top of the tank are open to the air. We can ignore air resistance and treat water as an ideal fluid with a density of...
A crude oil storage tank in the shape of a right cylinder of radius 4 ft and length 10 ft is buried in the ground in the horizontal position. If the top of the tank is 5 ft below the surface, find the work required to empty a full tank of oil weighing 50 lb/ft' by pumping it though a pipe that extends to a height of 2 ft above the ground. You only need to set-up the integral. (Assume...
Help! thanks! :) A tank is created by revolving the enclosed region below about the y-axis. The tank is filled with a liquid of weight-density 70 lb/ft? . (2,4) 2+ O Setup the integral that would give the work done in pumping the liquid to a height 3 ft. above the top of the tank. (Setup Only) O Give the units the answer would have.
A tank containing oil is in the shape of a downward-pointing cone with its vertical axis perpendicular to ground level (See a picture of the tank ). Assume that the height of the tank is ℎ=8 feet, the circular top of the tank has radius r=4 feet, and that the oil inside the tank weighs 30 pounds per cubic foot. How much work,