Question

Find the volume of the solid whose base is rotating around the region in the first quadrant bounded by y = x^5 and y = 1.

A) and the y-axis around the x-axis?

B) and the y-axis around the y-axis?

C) and y-axis whose cross sections are perpendicular to x-axis are squares

Answer #1

2. Volume
(a) Compute volume of the solid whose base is a triangular
region with vertices (0,0), (1,0), and (0,1), and whose
cross-sections taken perpendicular to the y -axis are equilateral
triangles.
(b) Compute the volume of the solid formed by rotating the
region between the curves x=(y-3)^2 and x = 4 about the line y
=1

A. (1 point) Find the volume of the solid obtained by rotating
the region enclosed by ?= ?^(4?)+5, ?= 0, ?= 0, ?= 0.8
about the x-axis using the method of disks or washers. Volume =
___ ? ∫
B. (1 point) Find the volume of the solid obtained by rotating
the region enclosed by ?= 1/(?^4) , ?= 0, ?= 1, and ?= 6,
about the line ?= −5 using the method of disks or washers.
Volume = ___?...

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.

The base of a solid is the region in the first quadrant bounded
by the graph of y=cos x, and the x- and y-axes. For the solid, each
cross-section perpendicular to the x-axis is an equilateral
triangle. What is the volume of the solid?
A- 0.785
B-0.433
C -1.000
D- 0.340

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.

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 of the of the solid described as follows: The
base of the solid is the region enclosed by the line y=4-x, the
line y=x, and the y-axis. The cross sections of the region that are
perpendicular to the x-axis are isosceles triangles whose height is
equal to half their base. What is the volume of this solid (rounded
to two decimal places)? Please show work. Thanks much!

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

The base of a solid is
the region bounded by y = 9 and y = x 2 .
The cross-sections of
the solid perpendicular to the x axis are rectangles of height 10.
The volume of the solid is

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 19 minutes ago

asked 19 minutes ago

asked 22 minutes ago

asked 37 minutes ago

asked 38 minutes ago

asked 52 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago