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

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Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 11.…

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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: 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 ball of radius 10 has a round hole of radius 7 drilled through its center. Find the volume of the…

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Q: Find the volume of the solid whose base is given by 9. whose cross-sections perpendicular to the…

A: We will first find the area of cross section. Then integration of Area will be required volume of…

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

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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: Derive the formula for the volume of a sphere of radius r by slicing.

A: We have, a sphere of radius r. The differential element shown in the figure is cylindrical with…

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: Determine the height of the right circular cylinder of greatest volume that can be inscribed inside…

A: It is given that,  Radius of cone is, R=4 in Height of cone is, H=12 in   Let semi vertical angle is…

Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 19.…

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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: 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 sphere by using Multiple Integrals

A: We will find the volume of a sphere generated by revolving the semicircle y = √ (R 2 - x 2) around…

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

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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…

A: We have to find the dimensions of the right circular cylinder of greatest volume that can be…

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

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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: Find the lateral area of a right circular cone that cone that can be inscribed in a cube whose…

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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: 22. What is the exact volume of a cone whose base radius is 9 feet and whose height is 13 feet? Show…

A: The volume of a cone = (1/3) πr2h cubic units Where, ‘r’ is the base radius of the cone ‘h’ is the…

Q: Solve for the volume of the frustum of right circular cone given the dimensions 35m

A: Given that: Top diameter, d=35mBottom diameter, D=106mSlant height, L=84.528m NOTE: As per our…

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

A: solution:

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: Find the volume of the region cut from the solid sphere

A: Given the region cut from the solid sphere x2+y2+z2≤4a2by the cylinder x2+y2=a2.

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 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 largest right circular cone that can be incribed in a sphere of radius 3. 3 y…

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

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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 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: Find the volume of a silo that consists of a right circular cylinder with a radius of 4 and a height…

A: Given Cylinders radius = 4 andHeight = 8 Hempisphere radius = 4We know that volume of cylinder is…

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: A right circular cone of radius 3 cm has a curved surface area of 47.1 cm2  Find the volume of the…

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Q: Find the volume obtained when the circle of radius 1 withcenter (1, 0) is rotated about the y-axis.

A: We have to find volume obtained when the circle of radius 1 with center (1,0) is rotated about the…

Q: What is the difference in volume between a sphere with radius rr and a sphere with radius 0.3r0.3r?

A: Given query is to find the difference in the volume.

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

A: According to the given information it is required to find the dimension of right circular cylinder…

Q: ) Find the surface area of the closed circular cylinder of greatest volume that can 5.(Total. be…

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

A: Topic = Application of Derivative

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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