A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 9800л *S* (- y² + 15y + - 72y³ + 112y²) dy 0 9800л [²(y³ - 11y²+28y) dy 9800* S* (y³-7y² +12y) dy 800x (v³3-9y² + 20y) dy S 0 B
A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.) 9800л *S* (- y² + 15y + - 72y³ + 112y²) dy 0 9800л [²(y³ - 11y²+28y) dy 9800* S* (y³-7y² +12y) dy 800x (v³3-9y² + 20y) dy S 0 B
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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![A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping
the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.)
A S²(-y³ + 154-72y³ + 112y²) dy
9800л
0
B
9800л
[² (y³ - 11y² +28y) dy
0
Ⓒ9800m (v³-7y² + 12y) dy
[(y-³-9y² + 20y) dy
9800
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2b09623-93fd-4e36-b435-665a2dba652f%2F15c1bab8-5482-4d2c-a6d2-8deb6c4dc397%2Fg15tf7j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the integral for the work done in pumping
the content to a point 3 m from the top of the tank. (Hint: Put the bottom of the tank along the x-axis.)
A S²(-y³ + 154-72y³ + 112y²) dy
9800л
0
B
9800л
[² (y³ - 11y² +28y) dy
0
Ⓒ9800m (v³-7y² + 12y) dy
[(y-³-9y² + 20y) dy
9800
0
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