A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder.

Q: 17) If a right circular cone has a circular base with a diameter of length 10 cm and a volume of 50…

A: The diameter of circular base of the right circular cone is 10 m and so radius of circular base of…

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Q: Find the volume of the largest right circular cylinder that fits in a sphere of radius 1

A: 1.) Find the equation for the volume of a cylinder inscribed in a sphere.2.) Find the derivative of…

Q: Find the radius and height of a cylindrical can of total surface area A whose volume is as large as…

A: Find the radius and height of a cylindrical can of total surface area A whose volume is as large as…

Q: A ball of radius 10 has a round hole of radius 5 drilled through its center. Find the volume of the…

A: A ball of radius 10 has a round hole of radius 5 drilled through its center.

Q: A cylinder with height 10 and radius 6 is inscribed in a square prism.Make a sketch. Then find the…

A: Given:         Cylinder with height 10 and radius 6.

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

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

A: Sketch the base of the solid as follows.

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: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: This question is related to cylinders and spheres, we will solve it using given information.

Q: The cube is 3cm on one edge. Each of these joints A and B is 1cm from the vertex nearest it. If two…

A: This question is based on 3-D volume calculation in whivh two plane cut a wedge from a cube. We got…

Q: If the volume of a cone is 6 7 with radius 3, then its height is Select one: O a. 3 O b. 1 c.2 O d.…

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

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Q: . A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest…

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Q: 2. A right cylinder is inscribed in a cone with height 3 cm and radius of 9 cm. Find the largest…

A: We have to find the largest volume.

Q: Find the volume of the solid whose base is a triangle with vertices (0, 0), (0, 4), and (2, 0).…

A: Given vertices of the triangular base is 0,0, 0,4 and 2,0. We know the equation of the line passing…

Q: A regular square pyramid has lateral area 60m2 and base edge 6 m. Findthe volume

A: We know that the lateral area (A) of a square pyramid is: A=aa2+4h2 where a is the base edge and h…

Q: A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest…

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Q: Find the volume of the largest circular cone that can beinscribed in a sphere of radius r.

A: Let the largest circular cone that can be inscribed in a sphere of radius r as shown below: OC=OA=…

Q: 9. Find the volume of a frustum of a right circular cone with height h, lower base radius R, and top…

A: Volume of frustom of right circular cone is given by

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: Find the volume (in m3)  of a right truncated triangular prism with a triangular base whose sides…

A: Please follow step 2nd .

Q: A rectangular box with a square base is inscribed in a right circular cone of height 4 and base…

A: Given:A rectangular box with a square base is inscribed in a right circular cone.The base radius of…

Q: Find the volume of a right spherical segment of 2 bases if the radius of the sphere is 10 in.; the…

A: To find the volume of a right spherical segment of 2 bases. If the radius of the sphere is 10…

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 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 enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

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

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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: Show how to use the shell method to derive the formula for the volume of a right circular cone with…

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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: 2.Find the volume of the largest circular cylinder that can be inscribed in a sphere of radius R

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Q: Exercise 3. A cylinder with open top, closed bottom, radius r and height h has an outer surface area…

A: Given : Surfcae area of the open top cylinder is 8 cm²

Q: A right prism has height h and bases that are regular hexagons with sides s. Show that the volume is…

A: It is given that bases are regular hexagons with sides 's'. It clear from the figure that a hexagon…

Q: Show that the surface area of a closed cuboid with square base and given volume is minimum , when it…

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Q: The volume of the sphere with the radius 7 is = %3D cubic units

A: Consider the given: It is given that:Radius,r = 7Volume of sphere = 43πr3

Q: A sphere with radius r is inscribed in a cylinder. Find the volumeof the cylinder in terms of r.

A: let a right circular cylinder of radius 'R' and height 'H' is inscribed in the sphere of the given…

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 right prism has height x and bases that are equilateral triangles with sides x. Show that the…

A: Given, A right prism has height x and bases that are equilateral triangles with sides x.

Q: A hole is drilled through the center of a ball of radius r, leaving a solid with a hollow…

A: Given  that the center of a ball of radius r;  and  the  height of the cylinder be…

Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: topic - volume of cylinder

Q: Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle…

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Q: A Cylinder and cone have bases of equal radii and are of equal height.Show that their volume are in…

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Q: Show that the surface area of a closed cuboid with square base and given volume is minimum, when it…

A: Let the length be x , breadth be x and height be y of a closed cuboid with a square base.So Volume…