Find the volume of the solid that results when the shaded region is revolved about the indicated axis.

Q: Find the volume of the solid that lies in the first octant I

A: In this question, we find the volume of solid bounded by sphere, coordinates planes, and the cone.…

Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and r = 81 is…

A: Solution

Q: x= 124

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Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by…

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Q: Find the Volume of the solid generated by revolving the region of (the figure below) about the line…

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Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and r = 81 is…

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Q: Use the Theorem of Pappus to find the volume of thegiven solid.A cone with height h and base radius…

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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: y=1. 2)

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Use the shell method to find the volume of the following solid. A right circular cone of radius 3…

A: Consider the given information.radius is 3 and height is 8.The volune of right circular cone is…

Q: Find the volume of the solid that results when the region enclosed by y = Vr, y = 0, and a 9 is…

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Q: find the volume of the solid generated when R is revolved about the x-axis

A: Given that R is the region enclosed by the curve y=cosx, y=ex, x=π2 The volume of the solid…

Q: If the region enclosed by the y-axis, the line y=2 and the curve y=sqrtx is revolved about the…

A: Proceed as shown below...

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: Given: y=2cosx, With a=π4 , b=π2about x axis. Using disk method: V=∫abπr2dx

Q: Find the volume of the solid obtained by rotating the given curves about the specified axis.

A: Introduction: The formula of washer method to find the volume of the solid is given by,…

Q: Find the volume of the solid whose base is bounded by the circle x2 + y? = 36 and whose cross…

A: Given query is to find the volume of the give solid.

Q: Find the volume of the solid generated when the region enclosed by

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Q: Use the Theorem of Pappus to find the volume of the solid that is generated when the region enclosed…

A: y = 8−x² given y = x²     given This means that 8- x² = x² 2x2=8 x=-2,+2 Then, y=4,4

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Consider two continuous functions and  such that on the the interval. Take the region bounded by…

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed b y=x,…

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Q: Find the volume of the solid Hat is ob tained by revolvig the region about the x-axis.

A: The given curve is y=x-22+3,   1≤x≤4. Compute the volume of solid that obtained by revolving the…

Q: Find the volume of the solid that results when the region enclosed by

A: Given,               y=x, y=0, and x=1and revolved about the line y=1.

Q: Find the volume of the region cut from the solid sphere ρ≤ a by the half-planes θ = 0 and θ = π/6 in…

A: Find the volume of the region cut from the solid sphere.

Q: Find the volume of the solid generated when the region enclosed by y = Vx + 2, Y = /5x, and y = 0 is…

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Q: Find the volume of the solid generated by revolving the shaded region about the given axis. (Use…

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Q: Find the volume of the region cut from the solid sphere

A: Given the region cut from the solid sphere x2+y2+z2≤4a2by the cylinder x2+y2=a2.

Q: Find the volume of the solid with cross-sectional area A(x). A(x) =x + 2, -7<x<3 %=

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Q: Find the volume of the solid enclosed by y = x² + 1, y = 9 – x² and rotated about the y-axis.

A: Suppose a region is enclosed by two curves y=fx and y=gx. To calculate the volume of the region…

Q: Find the volume of the solid that results when the region enclosed by y = VI, y = 0, and r = 81 is…

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Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed

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Q: Find the volume of the solid generated when the region enclosed by y=sqrt(x+4), y=2x and y=0 is…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: From the given shaded region: Now find the Point of intersection between the curves x=0 &amp;…

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y=…

A: Given: y=x4 and y=27x

Q: Find the volume of the solid below. x 23, y 21, and z 10

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Q: Find the volume of the solid that results when the shaded region is 2 revolved about the indicated…

A: Given, The shaded region in the graph is revolved around x-axis. To find: Volume of the solid

Q: Find the volume rotated about the x-axis

A: Formula

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y =…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Given

Q: By Sketching the graph, find the volume of the solid generated by revolving the region given by, y =…

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Q: Find the volume of the region using cylindrical coordinates.

A: Volume is the amount of space occupied by the closed surface. In this problem, the region is bounded…

Q: Find the volume of the solid generated by revolving the shaded region about the given axis.

A: We need to find volume.

Q: What is the volume of the torus whose region is inside the circle

A: (x-3)2 + y2 = 1. Take it as the form (x-b)2 + y2 = a2, where b=3 and a=1.

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 volume of the solid formed by rotating the region inside the first quadrant enclosed by…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: Find the volume of the solid that results when the shaded region is 4 revolved about the indicated…

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Q: Use washers to find the volume formed by rotating the region enclosed by: y = 0.6 – 0.6|x – 12| and…

A: For y=0, 0.6-0.6x-12=0x-12=1x-12=1,x-12=-1x=13,x=11 The inner radius of rotation is,…

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…