A volume is described as follows: 1. the base is the region bounded by y = e.2", y = 3.2x? + 0.8 and a = 1; 2. every cross section perpendicular to the x-axis is a square. Find the volume of this object.

Q: 2. Consider the first quadrant region bounded by y² = x, the x-axis and x = 4. Find the volume when…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Find the volume of the solid that meets the stated conditions. Cross section area given by A(x) = 12…

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Q: If the area bounded by y = x² and y = 2 – x² is revolved about the x – axis and a vertical…

A: We have to find the volume of the solid if the area bounded by y=x2 and y=2-x2 is revolved about the…

Q: An industrial coating 0.1 in. thick isapplied to all sides of a box of dimensions 10 in. by 9 in.…

A: If the dimension of a cuboid is a×b×c Then the total surface area of the cuboid can be given as,…

Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

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Q: The solid S has a base described by the circle x² + y² = 1. Cross sections perpendicular to the…

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Q: Find the volume of a sphere with a surface area of 2304a in The volume is in. (Type an exact answer…

A: Area is the space covered by the object or any geometric figure. It is the region bounded by the…

Q: A volume is described as follows: 1.  the base is the region bounded by x=−y^2+10y+93 and…

A: The base of the object is the region bounded by x=−y2+10y+93 and x=y2−30y+243 Every cross-section…

Q: If h is the height of a pyramid and A is the area of its square base, find the volume of the pyramid…

A: The square pyramid has area A=a2, the side of base would be 'a'. Consider the center of pyramid on y…

Q: For a right circular cylinder, suppose that r = 6 in and H - 7 in. Find the exact:Total area,…

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Q: Given the area in the first quadrant bound by x²= 8y , the line x= 3 and the x-axis. What is the…

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Q: . THe area enclased by the loop of the curved y= x (x - 3)° is Find the volume generated . revolved…

A: Here 1st we will find points where loop is formed and then shade the region bounded ,  To form the…

Q: 5. Find the volume common to two circular cylinders, each of radius r, that intersect at right…

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Q: The region bounded by y = Vr, y = 2, and the y-axis is revolved about the a-axis. Find the volume of…

A: The region is bounded by the curves: y=x ,     y=0    and   y axis

Q: If the shape below is rotated around the x-axis, what is the resulting volume? Round to the nearest…

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Q: What is the volume formula for the solid figure below?

A: This is the figure of cone which height is h and radius r ans volume is v

Q: Find the volume of the region common to the interiors of the cylinders x2 + y = 1 and x? +z? = 1,…

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Q: Given the region bounded by y=×^3 ,X = 2, and the x-axis (in Quadrant I) is rotated about the line y…

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Q: A volume is described as follows: 1. the base is the region bounded by x 2. every cross section…

A: Given that the base is the region bounded by x=-y2+16y+182 and x=y2-26y+182 and every cross section…

Q: For the area bounded by y2=4x and y=x, find the volume generated if it is revolved about the line…

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Q: find the volume of the resulting solid, if the region is revolved 360° about x=-1

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Q: Given that the altitude is 2/3 of the total altitude of a cone which is 10m and the base of the cone…

A: The volume of the frustum can be obtained using the formula V=13πH(R2+Rr+r2). Here, H is the height…

Q: Find the Volume enclosed by N = x2+y² and

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Q: A rectangular solid has a length of 6.3 m, a width of 2.2 m, and a height of 8 m. Find the volume of…

A: Given that, a rectangular solid has length 6.3 m, width 2.2 m and height 8 m. Obtain the volume of…

Q: Let A be the area in the first quadrant bounded by the y-axis, the x-axis, and the line y=−2 x+3.…

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Q: Find the volume of a square pyramid with a height of 12 m and base edges of 6 m. V = m3 (Round to…

A: The objective is to find the volume of the given square pyramid

Q: The given area will be revolved about x = 2 to form a solid of revolution. If volume is to be…

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Q: The region enclosed by y=2Vx and y=6 is revolved about the x-axis. The volume of the solid generated…

A: The given curves are: y=2x, y=6

Q: The radius and height of a right circular cone are measured with errors at most 3% and 2%…

A: Here, the given errors are: ∆rr×100=3,∆hh×100=2⇒∆rr=0.03,∆hh=0.02

Q: find the volume (in units 3) generated when the region between the curves is rotated around the…

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Q: Find the volume of the cylinder in terms of r and to the nearest tenth. 5 in 3 in The volume in…

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Q: Given the area in the first quadrant bound by x² = 8y, the line x = 3 and the x-axis. What is the…

A: Use the formula for volume obtained on revolving a dingle function. Determine the limits and the…

Q: find the volume aquired by taking by region bound by  y=x^2 and  y=x^4 and rotating it around x=-1

A: To calculate the volume bounded by the curve y=x2 and y=x4 which is rotating about the line x=-1.…

Q: Find the volume of the sdid of revolution below. (1,1) 05 y=x

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Q: 13. Find the volume of the solid generated by revolving the area of a circle: (x − 2)² + y² = 4;…

A: The volume of the revolution of the function y=fx from x=a to x=b about the x-axis is: V=∫abπy2dx…

Q: A rectangular solid has a length of 6.6 m, a width of 2.2 m, and a height of 9 m. Find the volume of…

A: A rectangular solid has a length of 6.6 m, a width of 2.2 m, and a height of 9 m.

Q: Given the region bounded by y= x^3 ,x = 2, and the x-axis (in Quadrant I) is rotated about the line…

A: Given problem:- Given the region bounded by y=x3 ,X = 2, and the x-axis (in Quadrant I) is rotated…

Q: If the area bounded by the parabola y = x² and the line y = x is revolved about the x – axis, the…

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Q: 3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the…

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Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y=x (0, 0) (1, 1) y=x² R

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Q: Find the volume of a sphere with a surface area of 900x in. The volume is in. (Type an exact answer…

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Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

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Q: Determine the h/r ratio that minimizes the cylinder area for each given volume

A: The volume, V, of a cylinder is defined as V=πr2h, The surface area, A, of a cylinder is defined as…

Q: Compute the volume of an object if its base is a circle with radius 3 and cross sections…

A: The object has circular base with radius 3 The equation of the circle is x2+y2=r2 here r = 3…

Q: A sphere has a volume of V= 1764 in n. Find its surface area. The surface area is in (Round to the…

A: if R is the radius of a sphere, then volume V=43πR3 surface area S=4πR2

Q: Given the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is…

A: Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. Find…

Q: Given the area of the first quadrant bounded by x? = 8y, the line x = 4, and the x-axis. What is the…

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Q: A cone with a radius of 3 feet and a height of 5 feet is placed on top of a cylinder as shown. Find…

A: A cone with radius of 3 feet and a height of 5 feet is placed on topof a cylinder.To find the volume…