تم الحل ✓
categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
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The graph above shows the base of an object.
Compute the exact value (in terms of π) of the
volume of the object, given that cross sections
(perpendicular to the base) are semi-circles, with
their diameters on the base.
V = (32pi)/3
32π
Preview
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Q
The graph above shows the base of an object.
Compute the exact value of the volume of the
object, given that cross sections (perpendicular to
the base) are equiangular triangles.
V
= (32sqrt(3))/3
A volume is described as follows:
1. the base is the region bounded by y = 4-
4
-x2
81
and y = 0
2. every cross section parallel to the x-axis is a triangle whose height and base are equal.
Find the volume of this object.
volume
648
Preview
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