A water tank is in the shape of an inverted square pyramid. The pyramid is 10 ft tall and 24 ft wide at the top. How much work is needed to pump out the bottom 5 ft of water to the top of the tank? To simplify calculations, 1. use w for the weight density of water in lieu of 62.4 lb/ft 2. Solve only until you have integrated the definite integral and show the limits. No need to plug in the limits Place the origin at the center of the top of the pyramid.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 8A
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A water tank is in the shape of an inverted square pyramid. The pyramid is 10 ft tall and 24 ft wide at the top. How much work is
needed to pump out the bottom 5 ft of water to the top of the tank?
To simplify calculations,
1. use w for the weight density of water in lieu of 62.4 lb/ft
2. Solve only until you have integrated the definite integral and show the limits. No need to plug in the limits
Place the origin at the center of the top of the pyramid.
Transcribed Image Text:A water tank is in the shape of an inverted square pyramid. The pyramid is 10 ft tall and 24 ft wide at the top. How much work is needed to pump out the bottom 5 ft of water to the top of the tank? To simplify calculations, 1. use w for the weight density of water in lieu of 62.4 lb/ft 2. Solve only until you have integrated the definite integral and show the limits. No need to plug in the limits Place the origin at the center of the top of the pyramid.
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