Q2M) A tank has the shape of an inverted right pyramid with a square base, as shown in the picture. The side of the base is 2 meters long and the pyramid is 3 metres deep and full of sea water, with a density of 1025 kg / m³ . Compute the amount of work needed to extract water from the top, so that the depth of the water is reduced to 2 meters. Also, explain how the relevant integral would need to be modified in order to compute the work needed to lift the displaced water to h meters above the top of the tank.
Q2M) A tank has the shape of an inverted right pyramid with a square base, as shown in the picture. The side of the base is 2 meters long and the pyramid is 3 metres deep and full of sea water, with a density of 1025 kg / m³ . Compute the amount of work needed to extract water from the top, so that the depth of the water is reduced to 2 meters. Also, explain how the relevant integral would need to be modified in order to compute the work needed to lift the displaced water to h meters above the top of the tank.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:Q2M) A tank has the shape of an inverted right pyramid with a square base, as shown in the picture.
The side of the base is 2 meters long and the pyramid is 3 metres deep and full of sea water, with
a density of 1025 kg / m³. Compute the amount of work needed to extract water from the top, so
that the depth of the water is reduced to 2 meters.
Also, explain how the relevant integral would need to be modified in order to compute the work
needed to lift the displaced water to h meters above the top of the tank.
Q2T1) What is the shape of one of the approximating slices that need to be considered in the main
question?
Q2T2) In your solution clearly identify the reference frame you used.
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