Question

The base of the solid S is the circle x2+y2=814. The cross sections perpendicular to the base and the x-axis are semicircles. Find the volume of S. Enter your answer in terms of π

Answer #1

the base of certain solid is the triangle at (-4,2),(2,2), and
origin. cross-sections perpendicular to the y-axis are squares.
find the volume

A solid region has a circular base of radius 3 whose
cross-sections perpendicular to the x-axis are equilateral
triangles.
Set up, but do not evaluate, an integral equal to the volume of
this solid region.Hint: the area of an equilateral triangle with
side length s is (s^2/4)(√3.)

A
solid has a circular base of radius 1. Its parallel cross-sections
perpendicular to the base are parabolas. The largest parabola has
the equation y = 4 − x ^2 if placed on the plane. What is the
volume?
A. 9π/2
B. 1/2
C. π/2
D. 9/2
E. None of these

The base o a solid is the region in the xy plane bounded by y =
4x, y = 2x+8 and x = 0. Find the the volume of the solid if the
cross sections that are perpendicular to the x-axis are: (a)
Squares; (b) semicircles.

Find the volume of the solid ? if the base of ? is the
triangular region with
vertices (0,0), (3,0), and (0,2) and cross sections perpendicular
to y-axis are semicircles.
Please explain how you found x/3 + y/2 =1

Consider the solid S described below. The base of S is the
region enclosed by the parabola y = 1 - 9x^2 and the x-axis.
Cross-sections perpendicular to the x-axis are isosceles triangles
with height equal to the base. Find the volume V of this solid.

1)Find the volume of the solid whose base is a circle with
equation x^2+y^2=36 and cross-sections are squares perpendicular to
the x-axis.
(a) Create the graph for this problem
(b) What is the volume of one 'slice'?
(c) What is the integral for the volume?
(d) What is the volume in exact form?
2) Find the volume of the region bounded by y=-x^2+4 and y=x+2
rotated about the line y=5
(a) Create the graph for this problem
(b) What is...

Find the volume V of the described solid
S.
The base of S is an elliptical region with boundary
curve 9x2 + 4y2 = 36.
Cross-sections perpendicular to the x-axis are isosceles
right triangles with hypotenuse in the base.

3) The base of a solid is the first quadrant region between the
curve y = 2 ⋅ sin xand the x-axis on the interval [ 0 , π ].
Cross sections perpendicular to the x-axis are semi circles with
diameters in the x-y plane. Sketch the solid. Find the volume of
the solid.

The region bounded by y=x^3, y=x, x=0 is the base of a solid. a)
If the cross sections are perpendicular to the
x-axis are right isosceles
triangles (congruent leg lies on the base), find
the volume of the solid. b) If the cross sections are perpendicular
to the y-axis are equilateral
triangles, find the volume of the solid.

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