A right circular cylinder is inscribed in a sphere of radius r .Find the largest possible volume of such a cylinder.

Q: A ball of radius 16 has a round hole of radius 5 drilled through its center. Find the volume of the…

A: As per the policy of bartleby the provisions is to solve only one question at a time, I am solving…

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…

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: 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: area of

A: Mensuration: A rectangular box has a square base, an open top and a surface area of 300 ft2.

Q: Find the volume of a solid where the base of the solid is  a circle with radius 2, and the cross…

A: Let the circle be centered at origin and the radius is 2.

Q: A ball of radius 13 has a round hole of radius 8 drilled through its center. Find the volume of the…

A: A ball of radius 13 has a round hole of radius 6 drilled through its center. We have to find the…

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 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.

Q: Calculate the volume generated by the circle x^2 + y^2 -4x=-3 that revolves around ox

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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: 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: 5. Find the volume common to two circular cylinders, each of radius r, that intersect at right…

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

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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: Let m be the least possible surface area of a closed circular cylindrical can whose volume is equal…

A: • To solve this problem, we have to express the total surface area of the cylindrical can in a…

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

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

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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 cylindrical drill with radius 1 is used to bore a hole through the center of a sphere of radius 5.…

A: To Determine: A cylindrical drill with radius 1 is used to bore a hole through the center of a…

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

A: Topic:- geometry

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

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

A:

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: 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: 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: 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: Find the exact volume of the solid of revolution that results when a rectangular region with…

A: Given data: When the rectangle is rotated about its length then the revolution gives the right…

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…

A:

Q: A sphere and a cube have equal surface areas.show that the ratio of the volume of the sphere to that…

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

A:

Q: 2. A right circular cylinder is inscribed in a sphere of radius 6 inches. Find the largest possible…

A: To solve the given problem, consider the following results: d(uv)dx=udvdx+vdudx…

Q: cylindrical

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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…

Q: Find the volume generated by y = x^2, x=0 and y = 4 rotated about the y axis. with drawing please.

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