A right cylinder of radius r is inscribed in a hollow sphere of fixed radius a. The

Q: Plane R is tangent to sphere 0 at point T. How are radius OT and plane R related?

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Q: What is the shape of the cross section indicated on the sphere?

A: NOTE: Refresh your page if you can't see any equations. . the question has asked for a cross-section…

Q: A sphere in the first octant is tangent to the three coordinate planes. What is the radius of the…

A: Given:- A sphere in the first octant is tangent to the three coordinate planes To find:- Radius of…

Q: B) Show that V=367 is the volume of a sphere of radius 3 by using spherical coordinates.

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Q: The arc of the parabola y =  x sq.  from ( 1,1, )  to ( 2, 4 )  is rotated aboutthe  y -axis. Find…

A: Given:The arc of the parabola y=x2 is rotated about the y-axis from 1,1 to 2,4. We have to find the…

Q: Find the surface area of a sphere of radius .

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Q: io of the radii of gyration of a hollow sphere and a solid sphere of the sa

A: Let the radius of gyration of a hollow sphere =k1 and radius of gyration of a solid  sphere= k2 let…

Q: (b) Find the surface area of a hemisphere of radius a.

A: Remark: We know that the surface area of a sphere with radius 'a' unit is = 4πa2 square unit. Also,…

Q: The volume of a sphere is 1150 cubic centimeters. What is the approximate diameter of this sphere?…

A: Given,           The volume of a sphere is 1150 cubic centimeters.To find : What is the approximate…

Q: A cone with radius 5 and height of 10 is intersected herirontally by a plane. At the point of…

A: Given data, Radius of cone, R = 5 units Height of cone, H = 10 units A plane is intersection…

Q: Which is a possible cross section of a cylinder?

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Q: Find the area of the circle formed when a plane passes 7 cm from the center of a sphere with radius…

A: Solution: Consider the given sphere with radius = 8 cm When a plane passes through the sphere and…

Q: What is the definition of a parabolic cylinder?

A: The parabolic cylinder functions are the solutions to the differential equation d2ydx2 + ax2 + bx +…

Q: Two identicals spheres of radius 6 intersect so that the distance between their centers is 10. The…

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Q: how/demostrate that the surface

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Q: .Estimate vu in cylindrical form, in the orthogonal curvilinear coordinates

A: Given: We consider elliptic in cylindrical form .

Q: Show that the geodesic on the surface of a right circular cylinder is a segment of a helix

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Q: Find the point on the sphere X+y+=4 and the point on The sphere x+y ansi- 2 Selution:-

A: To find the point on the sphere which is farthest from the given  point (1,-1,1).

Q: 65 60 (18,56.52) 55 50 45 40 35 30 (9, 28.26) 25 20 15 10 1 2 3 4 56 7 89 10 11 12 13 14 15 16 17 18…

A: Here the radius is constant, that means here the volume is changing according to the height of the…