The base of a solid is a circle with radius 4. The cross sections of the solid perpendicular to a fixed diameter of the base are squares. If the circle is centered at the origin and the cross sections are perpendicular to the x-axis, find the area A(x) of the cross section at x. A(x) = 64 - 4x2 Find the volume V of the solid. V = 1624/3 symbolic formatting help

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 55AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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The base of a solid is a circle with radius 4. The cross sections of the solid perpendicular to a fixed diameter of the base are squares.
If the circle is centered at the origin and the cross sections are perpendicular to the x-axis, find the area A(x) of the cross section at x.
A(x) = 64 – 4x2
Find the volume V of the solid.
V = 1624/3
symbolic formatting help
Transcribed Image Text:The base of a solid is a circle with radius 4. The cross sections of the solid perpendicular to a fixed diameter of the base are squares. If the circle is centered at the origin and the cross sections are perpendicular to the x-axis, find the area A(x) of the cross section at x. A(x) = 64 – 4x2 Find the volume V of the solid. V = 1624/3 symbolic formatting help
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