A cone is formed from a circular piece of material of radius 1 meter by removing a section of angle 0 and then joining the two straight edges. Determine the largest possible volume for the cone.

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: A right circular cone has a slant height of 12 ft and a lateral area of 967 ft'. Find its volume.

A: Given slant height and lateral area of cone are 12 ft and 96πft2, respectively. Obtain radius of the…

Q: A solid has a circular base of radius 3. What is the volume of the solid if vertical cross-sections…

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Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

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Q: A right circular cone is inscribed in a cube having a diagonal which measures 10√3 cm. Find the…

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Q: A ball of radius 15 has a round hole of radius 9 drilled through its center. Find the volume of the…

A: Given, Radius of the ball =R= 15 Radius of the round hole =r= 9 We have to find the volume of the…

Q: A right triangular prism has lateral area 120 cm2 If the base edges are 4 cm, 5 cm, and 6 cm long,…

A: The lateral surface area is 120cm2 Base edges are 4cm, 5cm, 6cm To find height of the prism

Q: A hemispherical bowl of radius 5 cm is filled with water to within 3 cm of the top. Find the volume…

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Q: a right cone with slant height of 5.6 centimeters and a radius of 1 cm. find the volume

A: For the right cone Slant height s=5.6 cm Radius r= 1cm Volume V = ?

Q: Find the volume of the solid whose base is an isosceles triangle (with base 6 meters and sides 5…

A: Given a solid whose base is an isosceles triangle (with base 6 meters and sides 5 meters) and whose…

Q: Find the volume of an oblique cone with radius 4 and height 3.5?

A: Given that : Radius ( r) = 4 and height (h) = 3.5 .

Q: A cone and a cylinder both have height 48 and radius 15. Givethe ratio of their volumes without…

A: Given that,  Cone and Cylinder both have height 48 and radius 15. To find the ratio of their volumes…

Q: Find the dimensions of the right circular cone of greatest lateral area that can be inscribed in a…

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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: A solid has a circular base of radius 3. What is the volume of the solid if vertical cross-sections…

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Q: Consider a right-circular cylinder of diameter 1. Form a wedge by making one slice parallel to the…

A: The diameter of the right circular cylinder is d=1. The angle which is made by other slide to the…

Q: Determine the dimensions of the right-circular cylinder of greatest volume that can be inscribed in…

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Q: A right circular frustum of a cone has diameters of 10m and 6m respectively. If its slant height is…

A: Given, Diameters of the right circular frustum of a cone are 10m and 6m respectively Slant height =…

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 area of the base of an aluminum can with a shape of right circular cylinder is 158.5 sq.in. and…

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Q: A hole is drilled through the center of a metal sphere of radius 6cm. The hole has a radius of 3cm.…

A: Volume of metal ring = 798.63 cm³

Q: Find the volume of right circular cone with radius 6 cm and height 7 cm

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Q: A section of road follows a circular arc with a central angle of 15.6°. The radius of the inside of…

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Q: A conical tank that is 5 meters high has a radius of 2 meters, and is filled with a liquid that…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the volume of a right circular cone that has a height of 3.2 m and a base with a radius of 14.1…

A: We have to find volume right circular cone that has a height of 3.2 m and a base with a radius of…

Q: A square pyramid whose base width is óm has an altitude of 12m is cut by a plane parallel to the…

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Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 44.

A: Given:

Q: Rukia discovers that the teepee with a circular floor has a radius length of 6 ft and a height of 15…

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Q: The slant height of a right circular cone is 1 m and its height is 2 m. Find the area of its curved…

A: Given: The slant height of a right circular cone is 1 m  height  of a right circular 2 m.  To find:…

Q: A right circular cone has a slant height of 12 ft and a lateral area of 96™ ft². Find its volume.

A: Let r be the length of radius of base, h be the altitude of the circular coneand l be the length of…

Q: A square hole of side 2 cm is chiseled perpendicular to the side of a cylindrical post of radius 2…

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

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Q: Find the volume of the largest right circular cylinder that can be cut from a circular cone of…

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Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 3.

A: Cone: The volume of right circular cone V=13πr2h Where r is the radius of the circular base of the…

Q: Find the volume of the solid with a circular base of radius 4 and the cross sections perpendicular…

A: Given, the radius is 4 so we can conclude x2+y2=4 (equation of circle) =y2=4-x2 y=4-x2 one side of…

Q: A cone has radius 8 and height 6. Find the volume.

A: Given: A cone has radius 8 and height 6. To determine: Volume of the given cone.

Q: What is the total surface area of a right circular cone of height 14 cm and base radius 2 cm?

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Q: The axes of two circular cylinders of radius a intersect at right angles. Show that the volume…

A: 8∫0ady∫0a2-y2dx∫0a2-y2dz = 8∫0ady∫0a2-y2dx (a2-y2)8∫0ady∫0a2-y2dx∫0a2-y2dz  =8∫0ady…

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 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: Determine the volume of a cylindrical wedge cut from a cylinder with a radius 4 m, if the cutting…

A: The base of cylinder is circular in shape, so the general equation of the base is, x2+y2=a2 where a…

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

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Q: A 5 meter high conical tank has a radius of 2 meters, and is filled with a liquid (800 kgf/cu.m).…

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Q: A hole of radius 6 cm is drilled through the center of a sphere of radius 10 cm. How much of the…

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Q: Engr Thomas Pendot wants to construct a frustum from a right circular cone. At what distance from…

A: Let h be the distance from the base of the right circular cone which also the height of the frustum.…

Q: A hemispherical shaped tank has a radius of 10 ft. If the tank is completely full, find the work…

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Q: A right circular cone has a lateral area of 1280π ft2 and a base area of 512π ft2. Find the volume.

A: The detailed solution is given below Thank you

Q: If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 100T…

A: Given that, Diameter of right circular cone d = 10 cm So radius of right circular cone r = 5 cm And…