A right circular cone is circumscribed by a sphere of radius 1. Determine the height h and radius r of the cone of maximum volume.

Q: A right circular cylinder is inscribed in a sphere of radius 6 inches. Find the largest possible…

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Q: A silo consists of a right circular cylinder surmounted by a right circular cone cover. What is…

A: When we place right circular cone on top of a cylinder, the curved surface area of the combined…

Q: Find the volume of a cap of a sphere with radius 50 and height h = 3.

A: volume of sherical cap with radius given r=50 and height=3

Q: Determine the dimensions of the right circular cylinder of maximum lateral surface area that can be…

A: Maximum lateral surface area will occur at critical point  So put ds/d(theta) = 0 Find theta

Q: Here is a cylinder placed in a hemisphere. Radius of the hemisphere is 1. What is the maximum…

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Q: Find the dimensions of the right circular cone of minimum volume V that can be circumscribed about a…

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Q: Calculate the volume of the solid that is limited superiorly by the sphere x2+y2+z2=9 and inferiorly…

A: To Calculate: Volume of the solid bounded superiorly by x2+y2+z2=9 and inferiorly by x2+y2=z2.

Q: A right-circular cone is to be circumscribed about a sphere of given radius. Find the ratio of the…

A: Let R be the radius of the cone, l its slant height and h be the height. V= 13πR2h We have to make…

Q: Show that a closed right circular cylinder of given surface has maximum volume if its height equals…

A: Let, the surface area be S, radius be r, height be h and volume be V. The total surface area be…

Q: 3. Determine the dimensions of the right circular cylinder, with the greatest volume, that can be…

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Q: A right circular cylinder is inscribed in a sphere of radius r. Find the largest possiblesurface…

A: Consider the right circular cylinder inscribed in the sphere with radius, r. Suppose the height and…

Q: Determine the right circular cone of maximum volume that can be inscribed inside a given sphere of…

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Q: 6. Find the radius of a right circular cone having a lateral area of 544.12 m2 to have a maximum…

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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: Find theirelume of the largest. right circular Cone that can be inscribed in a sphere of radius 3.

A: we know,     The volume  of right circular cone is:      V =1/3 pi*r2*h  , where r is the radius of…

Q: 2. A right triangle with hypotenuse of 5V3 cm. is revolved about one of its legs to generate a cone.…

A: Given,          Let r, h, and V be the radius, height, and volume, respectively

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: Find the radius of a right circular cylinder of maximum volume that can be inscribed in a sphere of…

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Q: A cylinder with length 1 m and radius 5 cm has a cone of the same radius and length of 10 cm…

A: We will find out the required value.

Q: The line segment from (0,0) to (5,20) is revolved about the x-axis to form a cone. What is the…

A: First find equation of line then Use formula of volume

Q: The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m…

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Q: Solve for the radius of a right circular cone of maximum volume which can be inscribed in a sphere…

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Q: 3. Show that a closed right circular cylinder of given surface has maximum volume if its height…

A: Let r, h be the radius and height of the cylinder respectively and V, S be the Volume and Surface…

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

A: solution:

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

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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 circular cylinder of largest lateral area which can be inscribed in a sphere of radius 4…

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Q: Solve for the radius of a right circular cone of maximum volume which can be inscribed in a sphere…

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Q: 4. Find the radius of the right circular cone with least volume that can be circumscribed about the…

A: Formula Used: Volume of Cone = 13πR2h where R,h denote the radius and height of right circular…

Q: Show that it is not possible to design a cylindrical can (with top and bottom) of volume 400 cubic…

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Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere od…

A: Topic:- geometry

Q: The base of a solid circular with a radius of 4 cm. Determine its volume if every plane…

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Q: A closed cylindrical tank has a capacity of 576.56 cu.m. Determine the surface area at a minimum.

A: Given volume of cylinder = 576.56 m3

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: A cone with a circular base of radius 6 cm is to be made so that the distance from the apex of the…

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Q: Find the height of the right circular cone of minimum volume V that can be circumscribed about a…

A: Given data - Radius of sphere = 8 in. The right circular cone circumscribed about a sphere . We have…

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: A right circular cylinder is inscribed in a sphere of radius 3 inches. Find the largest possible…

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Q: A cylindrical can of tuna has a diameter of 8 cm and a height of 4 cm. Determine the surface area of…

A: Consider the given diameter 2r=8cm and height h=4cm 2r=8rr=82=4

Q: A cone is formed from a circular piece of material of radius 1 meter by removing a section of angle…

A: To determine the largest possible volume for the cone, if a cone is formed from a circular piece of…

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

A: Given, a right cylinder of radius 'r', is inscribed in a hollow sphere of fixed radius 'a'. The…

Q: 9. Find the demensions of the right circular cylinder of largest volume that can be inscribed in a…

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Q: Find the radius and height of the open right circular cylinder of largest surface area that can be…

A: Given, Open Right circular cylinder Sphere

Q: Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius…

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Q: Neyinder is inscribed in a right circular cone of height 2.5 and radius (at the base, equal to 3.…

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Q: The altitude of a cylinder of maximum volume that can be inscribed in a right circular cone of…

A: We have to find Altitude

Q: Right circular cones of height h and radius r are attached to each end of a right circular cylinder…

A: Let Vcr be the volume of the cone and Vc be the volume of the cylinder. So, Vcr=πr2h and Vc=13πr2h.

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

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Q: find the source caused by water pressure on one of the ends of the trough with the semicircular…

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