Show that the volume of the largest right circular cylinder that 4 the volume 9. can be inscribed in a given right circular cone is of the cone.

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: 1. Show that the volume ofa parallelepiped with sides A. B and C given by A (B x C)

A: As per our guidelines we are supposed to solve only one question i.e. the question no 1. For the…

Q: A cylinder with height 12 is inscribed in a sphere with radius 10. Find the volume of the cylinder

A: Given:       The height of the cylinder = 12       The radius of the sphere = 10…

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 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: Find the volume of a sphere with a surface area of 2304a in The volume is in. (Type an exact answer…

A: Area is the space covered by the object or any geometric figure. It is the region bounded by the…

Q: Prove that the volume of a segment of height h of a sphere of radius r is V = }nh°(3r – h)

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Q: A metal plug has been designed using the intersection of the two cones z = √√x² + y² and √x² + y² +…

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Q: The base of a three-dimensional figure is bound by the line y = -2x + 5 on the interval [-1, 2].…

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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: 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 vertices (0, 0), (1,0),…

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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 the volume enclosed by the cy linder (x-1) ty²=1 and the sphere x² +y²7z²=L4.

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Q: Compute the volume lying inside the sphere x2 + y? + z2 = 46 but outside of x² + y? = 21.

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Q: What is the volume in the first octant bounded by x² + y – 4 = 0 and z = x. Use a triangular…

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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: Use triple integral to show that the volume of a sphere with radius 'a' ra". is

A: We have to use triple integral to show that volume of sphere with radius ' a ' is 43π a3. Equation…

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

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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: 5. A 210° sector is cut out of a circular piece of tin with radius 6 in and bent to form the lateral…

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Q: What is the volume in the first octant bounded by x2 = 16 – y and z + y = 16.

A: Given curves are

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: What is the volume in the first octant bounded by x2 + y − 4 = 0 and z = x. Use a triangular…

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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: 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: Show that the rectangular box (including the top and bottom) withfixed volume V = 27 m3 and smallest…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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: 41. Find the volume of the solid which is the intersection of the two cylin- ders in Figure 9. Hint:…

A: Given: A solid with a circular base of radius a. Each plane perpendicular to the diameter AB…

Q: The volume of the sphere with the radius 8 is = cubic units 30727 3 512T 3 20487 3 10247 3

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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: Show that the volume of a sphere of radius r is V = 4/3 pie r 3

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Q: Find the volume.

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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: 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 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: 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: Find the volume of the portion of the solid sphere ps8 that lies between the cones o= and ф %3D 3 3…

A: The portion of the solid sphere ρ≤8 that lies in between the cones ϕ=π3  and  ϕ=2π3

Q: A right traingle of a given hypotenuse is rotated about one of its legs to generate a right circular…

A: Using Pythagoras theorem and by application of derivative we can find the maximum 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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