For the given section as shown, determine the surface area and the volume of the solif that will be generated if rotated 360 degrees about the y axis

Q: Find the volume of the cap of a sphere of radius r and height h for h < r.

A: The equation of the sphere with radius r is x2+y2+z2=r2. Determine z2 from the equation of sphere.…

Q: Find the total surface area of this cone- Leave your answer in terms of . 4ft 3ft SA = [ ? ]a ft²

A: Total surface area of cone =πrl+πr² r=radius of cone l=slant height of cone.

Q: The base of a solid is the circle x² + y² = 16. Find its volume if every section perpendicular to…

A: Given that base of a solid is in the form of a circle whose equation is given as x2+y2=16 Also,…

Q: Find the total surface area of this cone. Leave your answer in terms of r. 24in 10in

A: Total surface area of a cone =πr(r+h2+r2) where r is the radius of the base and h is the height of…

Q: For the given section as shown, determine the surface area and the volume of the solid that will be…

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Q: Find the total surface area of the cone if S = 12 in and r= 13 in. Use 3.14 for n and round to the…

A: The total area of a cone = Lateral surface area + area of the base circle.…

Q: Find the total surface area of the solid below. Round your answer to the nearest hundredth. x= 20…

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Q: Determine the volume if the area common with y^2 - 3x + 7y = 8 and x^2 - 4x +3 = y^2 is revolved…

A: Integration of function under certain limits with respect to any of the axis gives the area under…

Q: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5…

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Q: A rectangle R of length ℓ and width w is revolved about the line L . Find the volume of the…

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Q: For a sphere whose radius has length 7 cm, find the approximate a) surface area. b) volume.

A: surface area of a sphere is 4πr2 square unitsvolume of a sphere is 43πr3 cubic units.where r is the…

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

A: Given: (x-2)2+y2=1

Q: Find the surface area of a cylinder with a height of 6 in and a base radius of 2 in.

A: surface area of the cylinder = 2 pai r h

Q: What is the surface area of the Right Cylinder below Diameter AB%3D37, and height BC=26.

A: We have to find the surface area of right cylinder

Q: The formula for the surface area of a sphere with radius ris V= tr. O True False

A: False.

Q: Choose the best coordinate system to find the volume of the portion of the solid sphere ps3 that…

A: Using spherical coordinate.

Q: The area in the second quadrant of the circle x2 + y2= 2 is revolved about the line y + 1 = 0. What…

A: This problem belong to circle and line section from geometry and we solve this using the second…

Q: Find the surface area of each pyramid to the nearest whole number. (SHOW ALL WORK) Calcula el årea…

A: The surface area of the square pyramid is calculated by using the formula, S.A=2bs+b2. Where  b  is…

Q: Find the surface area of each cylinder in terms of T. Encuentra el área de la superficie de cada…

A: Given: A cylinder is given. To Find: Surface area of the cylinder

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

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Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

Q: 5. Ay 1 y = ycos x π 4.

A: Apply the washer method; The volume of revolution of the curve about x-axis, from x = a to x = b is…

Q: Find the surface area of each pyramid to the nearest whole number. (SHOW ALL WORK) Calcula el área…

A: GivenPyramid of base 5m and height 6mTo findSurface area of pyramid

Q: Find the volume of a stereoscopic body by rotating a given straight line around an axis surrounded…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: For the accompanying right circular cone, h = 6 m and r = 4 m. Find the exact and approximate a)…

A: given: the height of the cone is h=6m and the radius of the cone is r=4m. then we have to find the…

Q: ind the volume of the solid whose base is a triangle with vertices (0, 0), (0, 5), and (5, 0).…

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Q: Find the surface area and volume for the following prisms. 11 15 J5 12. 13. 14. 12 7 5 22 5

A: Dear student,                          According to our guidelines we can answer three subparts or…

Q: Find the volume of liquid needed to fill a sphere of radius R to height h (Figure 19). FIGURE 19…

A: Assume the horizontal distance between the surface of the sphere and the height h is x.

Q: Find the volume of liquid needed to fill a sphere of radius R to height (R/4).

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Q: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5…

A: According to the question, Rotate the right triangle about its 7 inches side, and then it’s a right…

Q: Choose the formula for the volume of a sphere of radius r.(a) 4/3 πr 2 (b) 4/3 πr 3 (c) 4πr 3 (d)…

A: The volume of a sphere of radius r is,

Q: y=kx? From the spandrel segment and semicircle shown from item 2, determine the volume generated by…

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Q: Find the volume of liquid needed to filla sphere of radius R to height R y V

A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

Q: Find approximately the difference between the areas of two spheres whose radii are 3 feet and 3.04…

A: In this question, we need to find the difference between area of two spheres whose radii are 3 feet…

Q: Find the surface area of the composite solids. Le 26 m 12 m 15 m 32 m m2 %3D

A: Given :                 Cone :     radius = 12 m , slant height = 26 m             Cylinder :…

Q: The figure shows a greenhouse roof in the shape of half a cylinder, with no ends. 30 m 6 m What is…

A: Topic- surface area of curved roof  cylinder

Q: Find the volume of the composite solid below. The pyramid and prism have the same height. Round your…

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Q: Find the volume of the sphere. Either enter an exact answer in terms of TT or use 3.14 for T. 9. .3…

A: →Volume of sphere = 43 π r3                                                 where 'r' is the radius…

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: For the given section as shown, determine the surface area and the volume of the solid that will be…

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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: 6. Find the volume of the torus generated by revolving the circle x² + y² = 4 about the line .x = 3.

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Q: Find approximately the difference between the areas of two spheres whose radii are 3 feet and 3.04…

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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: Consider the following. 13.0 cm 18.0 cm (a) Find the volume of the right circular cone (in cm³). cm…

A: Formula for finding volume of a right circular cone is,        Volume= (1/3) πr2h Where h=height of…

Q: Find the total surface area of this cone. Leave your answer in terms of T. 24in |10in SA = [ ? ]7…

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Q: For a sphere whose radius has length 3 m, find the approximate a) surface area. b) volume.

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Q: Find the volume of liquid needed to fill a sphere of radius R to height R y V = 씨5

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Q: For the given section as shown, determine the surface area and the volume of the solid that will be…

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