A tank has the shape of an inverted right square pyramid with a base edge of 9ft and a height of 12ft. If the tank is full of water, find the work necessary to pump the water out through an opening at the top of the tank. Set up integral and work by hand

Q: Kelly has 1,400 ft. of irrigation piping he wants to use to irrigate his back lawn. He wants to lay…

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Q: An ice storage plant removed, from the center of a pond, a mass of ice covering an area of 2 acres.…

A: First converting the acres to square feet  2 acres = 87120 ft2            (because 1 acre = 43560…

Q: The area of a regular 11-gon is approximately 2706.67/ square mm. Find the perimeter if the apothem…

A: *to find:- The perimeter of the polygon, P=? *given;- Area of the polygon, A = 2706.67 mm^2 Length…

Q: A water well has an 8-inch diameter and is 190 feet deep. The water is 25 feet from the top of the…

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Q: Calculate the height that we can reach with a 3m ladder leaning against a wall if the bottom of the…

A: First we consider a triangle ABC, in which the height of AB = a, BC = 3m and AC = 7 cm So, the…

Q: Suppose a 100-foot-long cable is dangling from the roof over the edge of a tall building. Each 1…

A: We will find work done to lift a horizontal slice and then will integrate it to find total work done…

Q: Two pieces of tubing 3 3/8 inch and 4 1/16 inch respectively are to be cut from a 10 inch length.…

A: We need to find the length of remaining tubing piece.The lengths of cut pieces are,

Q: The Luxor Casino in Las Vegas is a square-based pyramid. The height of the pyramid is 350 ft and the…

A: The objective is to find the air capacity that the building can hold.

Q: One day I was walking there and measured its dimensions. It is shaped like a rectangle with a…

A: Given, length of the rectangle = l = 105 m Width of the rectange = w = 68 m Then radius of the semi…

Q: Pak Harun has a rectangular plot of land 15 1/2 m long and 8 3/4 m wide. Mr. Harun plans to make an…

A: Answer

Q: An artist is making a sculpture consisting of three oblique triangular prisms that support a cube to…

A: Given: Cost of bronze = $1.13 per pound, Bronze weighs = 541 pounds per cubic feet, height of prism…

Q: The weight of the air pushing down on you at sea level is 14.7 lbs per square inch.  If your ruler…

A: 12 inch ruler = 30 square inches pressure of air = 12.7lbs/square inch Therefore, you'd be lifting…

Q: A concrete slab consists of a rectangle 37' by 34' with a uniform thickness of 2'. What is the cost…

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Q: rectangular box without a lid must have a volume of 2 cubic meters. Suppose the material used on the…

A: Given:- A rectangular box without a lid must have a volume of 2 cubic meters. Suppose the material…

Q: A kettle, with the capacity of 0.8L, is filled to its brim with water. A pail, with 3 times the…

A: Here in the given question we have three different objects. 1. kettle with capacity 0.8L 2. Pail…