Find the volume of the torus generated by revolving the circle (x - 2)^2 + y^2 = 1 about the y-axis.

Q: y = 9x² and y = 0 about x = -4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the volume of the solid with a circular base of radius 5 whose cross sections perpendicular to…

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Q: Find the volume of the solid generated by revolving the region enclosed by the triangle with…

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Q: Find the volume of the solid whose base is the semicircle y = √9 - x² where -3 ≤ x ≤ 3, and the…

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Q: Explain how to use the disk method to find the volume of a solid of revolution

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Q: Find the volume of the solid formed by rotating the region enclosed by y = x3 and y = 4x in the…

A: We first sketch the region using a graphing calculator  y=x3 (blue) y=4x (green) The shaded region…

Q: calculate the volume of the 1st octant under the plan 2x + y + z = 10

A: answer

Q: Find the volume of sphere by using Multiple Integrals

A: We will find the volume of a sphere generated by revolving the semicircle y = √ (R 2 - x 2) around…

Q: Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes…

A: Solution is written in below steps.

Q: Find the volume of the solid whose base is the semicircle y = /25 – x² where –5 < x < 5 and the…

A: Given the base of the solidy=25-x2 , y&gt;0The intersection of the base with the x-axis :Put y =…

Q: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The…

Q: Find the volume of the largest right circular cone that can be inserted in a sphere of radius 3.

A: The volume of the cone is given by  , where is the radius of the circular base of the cone and h is…

Q: Determine the volume of the solid obtained by rotating the portion of the region bounded by…

A: First we have to plot the given region.

Q: Find the dimensions of the right circular cone of the greatest lateral area that can be inscribed in…

A: Here we find the dimensions of cone.

Q: Determine the dimensions of the right-circular cylinder of greatest volume that can be inscribed in…

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Q: Find the volume generated by revolving the region enclosed by x -y and y=x+2 about у-аxis.

A: We have to find the volume.

Q: Find the volume of the solid situated in the first

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Q: Derive the formula for the volume of a sphere by revolving about the x-axis, the region bounded by…

A: We have to derive the formula for the volume of a sphere by revolving about the x-axis, he region…

Q: Find the area of the surface generated by revolving the region bounded by, 1 1sx55 8x2 about the y-…

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Q: Find the surface area of the closed circular cylinder of greatest volume that can be inscribed in a…

A: solution:

Q: What is the area of the curved surface of a right circular cone of radius 11 and height 60?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the volume of the solid generated by revolving the region enclosed by the triangle whose…

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Q: Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

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Q: The area on the first quadrant of the circle x^2 + y^2 = 36 is revolved about the line y + 10 = 0.…

A: To find: The volume generated by the area on the first quadrant of the circle x2+y2=36 is revolved…

Q: Find the volume generated by revolving the plane area generated by the equations y = ex^2, y=0, and…

A: To find the volume of solid formed when the region bounded by y=e-x2, y=0 and  x=0  about the…

Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3.

A: Cone: The volume of right circular cone V=13πr2h Where r is the radius of the circular base of the…

Q: Find the volume generated by a parabola y2=4(51)x, its axis and its latus rectum revolves around its…

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Q: Find the dimensions of the right circular cone of the greatest lateral area that can be inscribed in…

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Q: Find the volume of the solid with a circular base of radius 4 and the cross sections perpendicular…

A: Given, the radius is 4 so we can conclude x2+y2=4 (equation of circle) =y2=4-x2 y=4-x2 one side of…

Q: Find the volume of the largest right circular cone that can be incribed in a sphere of radius 3. 3 y…

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Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose…

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Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 2.

A: Volume of the cone is given by 13πr2h, here r is the radius of cone (and not the sphere), h is…

Q: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

A: Find the volume of the torus obtained by revolving the circle x^2 + y^2 = 4 about the line x = 3.

Q: Find the volume generated by revolving the area bounded by the parabola x2 = 4y and its latus rectum…

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Q: Find the volume of the region formed by revolving the region bounded by y=sqrt x, y=0, and x=4 about…

A: First, we sketch the region using a graphing calculator  The shaded region is rotating about the…

Q: Derive the equation for the volume of a sphere of radius r using the shell method.

A: Consider a circle of radius (r), which when rotated around x-axis generates a sphere.

Q: and the x-axis. What is the volume generated by revolving this area by the у-аxis.

A: To find the volume about y axis

Q: Find the volume obtained when the circle of radius 1 withcenter (1, 0) is rotated about the y-axis.

A: We have to find volume obtained when the circle of radius 1 with center (1,0) is rotated about the…

Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis

A: The given solid is bounded between the curve y=9-x2, y=0,  rotating about the x-axis. Volume of the…

Q: Find the exact volume of the solid of revolution that results when a rectangular region with…

A: Given data: When the rectangle is rotated about its length then the revolution gives the right…

Q: Find the area of the surface generated by revolving the region bounded by, 1sx55 8x2 about the y -…

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Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose…

A: According to the given information it is required to find the dimension of right circular cylinder…

Q: Find the volume of the solid obtained by rotating the region enclosed by 30 y = x?, y = 5x, about…

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Q: 2. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

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Q: ) Find the surface area of the closed circular cylinder of greatest volume that can 5.(Total. be…

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Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose…

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Q: Find the dimensions of a right-circular cylinder of greatest volume that can be inscribed in a…

A: Topic = Application of Derivative

Q: Find the volume generated by y = x^2, x=0 and y = 4 rotated about the y axis. with drawing please.

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Q: y = x y=2-x2

A: The region is bounded by the curves y=2-x2 and y=x is rotated about x-axis. we have to fins the…