When cross-sections perpendicular to the x-axis are taken from the object whose base is bounded by the y = x² + 1_parabola, the coordinate axes and the line x = 1, a) squares, b) semicircles, ,,, with a diameter of the xy-plane are formed. Find the volumes by drawing the graphs of this object.
When cross-sections perpendicular to the x-axis are taken from the object whose base is bounded by the y = x² + 1_parabola, the coordinate axes and the line x = 1, a) squares, b) semicircles, ,,, with a diameter of the xy-plane are formed. Find the volumes by drawing the graphs of this object.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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Concept explainers
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
Question
1) When cross-sections perpendicular to the x-axis are taken from the object whose base is bounded by the y = x² + 1_parabola, the coordinate axes and the line x = 1,
a) squares,
b) semicircles, ,,, with a diameter of the xy-plane are formed. Find the volumes by drawing the graphs of this object.
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