The base of a certain solid is the area bounded above by the graph of y = 25 and below by the graph of y = 92. Cross-sections perpendicular to the y-axis are squares. Use the formula V = f A(y) dy to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b= The sides of the square cross-section is the following function of y The area of the square cross-section is A(y)= Thus the volume of the solid is V=

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
Question
The base of a certain solid is the area bounded above by the graph of y = 25 and below by the graph of y=9x2. Cross-sections perpendicular to the y-axis are
squares.
Use the formula V = SA(y) dy to find the volume of the solid.
The lower limit of integration is a =
The upper limit of integration is b =
The sides of the square cross-section is the following function of y
The area of the square cross-section is A(y)=
Thus the volume of the solid is V=
Transcribed Image Text:The base of a certain solid is the area bounded above by the graph of y = 25 and below by the graph of y=9x2. Cross-sections perpendicular to the y-axis are squares. Use the formula V = SA(y) dy to find the volume of the solid. The lower limit of integration is a = The upper limit of integration is b = The sides of the square cross-section is the following function of y The area of the square cross-section is A(y)= Thus the volume of the solid is V=
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