A manufacturer drills a hole through the center of a metal sphere of radius R. The hole has a radius r. Find the volume of the resulting ring.

Q: Find the volume of the solid that lies in the first octant I

A: In this question, we find the volume of solid bounded by sphere, coordinates planes, and the cone.…

Q: A circular cylinder is to be generated by revolving a rectangle with a given perimeter p around one…

A: Step 1   Perimeter = pGiven rectangle of length = h, width = r is revolved and circular cylinder is…

Q: Use the shells method to calculate the volume of a sphere of radius ?. Let the y axis be the axis of…

A: We have to find the volume of the sphere of radius r using shells method.

Q: Given a sphere with radius r, find the height of a pyramid of minimum volume whose base is a square…

A: Draw a figure from the given information, a sphere with radius r the base of the pyramid is square,…

Q: Use the Theorem of Pappus to find the volume of thegiven solid.52. A sphere of radius r

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Q: Find the volume of the described solid A frustum of a pyramid with square base of side b  ,…

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Q: Use the Theorem of Pappus to find the volume of thegiven solid.A cone with height h and base radius…

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Q: The volume of the sphere with the radius 5 is cubic units O 125 125 3 O 500 3 O 250 250 3 O 750 3

A: Volume of sphere

Q: A pentagonal pyramid has a base dimension of 3m and a height of 9m. determine: A. the slant height…

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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: Find the volume of the torus generated by revolving the circle (x - 2)^2 + y^2 = 1 about the y-axis.

A: Given: (x-2)2+y2=1

Q: Find the volume of the unit sphere.

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Q: In a right circular cone, the radius of the base is 4in and an element is 12in. Find the lateral…

A: Find your answer below

Q: A cylindricall soup can has a diameter of 2.6 in. and is 5.7 in. tall. Find the volume of the can.…

A: topic - volume of cylinder

Q: In a frustum of a cone of revolution the radius of the lower base is 11in., the radius of the upper…

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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: A manufacturer drills a hole through the center of a metal sphere of radius 5 inches, as shown. The…

A: Given: To Find: The Volume of the resulting metal ring. Concept: Method of Cylindrical Shell: Let…

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: A spherical volume charge with a radius of 6cm has a charge density of 10 nC/m³. The total charge in…

A: The radius of the sphere r=6 cm=0.06 m Charge density ρ=10 nC/m3=10×10-9 C/m3 We have to find the…

Q: A cone has been cut from the upper half of the unit ball as the figure below shows. Then what is the…

A: We have a hemisphere of radius = 1 and a cone has been carved out of it leaving the remaining solid.…

Q: Find the volume of the sphere belo 8 in

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Q: If the shape below is rotated around the y-axis, what is the volume of the resulting shape? Round to…

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Q: Find the volume of the torus generated by revolving the circle (x - 2)2 + y2 = 1 about the y-axis.

A: To determine the volume of the torus generated by revolving the circle.

Q: Find the volume of the solid whose base is bounded by the circle x2 + y? = 36 and whose cross…

A: Given query is to find the volume of the give solid.

Q: Find the volume of a stereoscopic body by rotating a given straight line around an axis surrounded…

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: Derive the formula for the volume of a right pyramid whose altitude is h and whose base is a square…

A: We have to derive the formula for the volume of a right pyramid whose altitude is 'h' and whose base…

Q: In a solid hemisphere, a cone is removed as shown with radius 6 and height 10. Calculate the volume…

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Q: The volume of a sphere is given by V =³, where V is th

A: Given that the volume of a sphere is given by V=45πr3, where V is the volume and r is the radius. If…

Q: Find the volume of the solid of revolution that results when a right triangle with legs of lengths 5…

A: According to the question, Rotate the right triangle about its 7 inches side, and then it’s a right…

Q: Find the volume of the torus (donut) with radii r and R as shown in the figure.

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Q: The edges at a common vertex of a tetrahedron are perpendicular to each other. The lenghts of these…

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Q: The formula for the volume of a cone is most closely related to which of the following…

A: The formula for the volume of a cone is most closely related to which of the following…

Q: Which is closest to the volume of the space in the package that is not occupied by the ball?

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Q: A hole in the ground has a 3 ft. by 5 ft. rectangular opening, and the depths at the four corners…

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Q: Find the volume of a sphere. 4/3piR^3 using cylindrical shells

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Q: What is the volume of the cone?

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Q: Find the volume of the following tetrahedron: z)|0<x<2(1-z), 0<y<3| 1 T =

A: Given that  The region of the tetrahedron is  To fidn the volume of the tetrahedron is

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: Refer to figure and find the volume generated by rotating the given region about a specified line.…

A: After rotating region R2 about line BC, it will look like

Q: Find the volume of a Cylinder where the radius = 6 and the height = 12 %3D %3D O 396T O 2647 43277 O…

A: Volume of a cylinder is given by ( V ) = base area × height Base area of a cylinder = πr2 Where 'r'…

Q: For a right circular cylinder, suppose that r= 6 in and H=7 in. Find the exact: Volume

A: Given Radius (r) = 6 in Height (h)=7 in To find Volume of right circular cylinder

Q: Find the volume of the cap of a sphere with radius R and height h using a triple integral. R.

A: Consider the following figure By Pythagorean theorem x2+y2=R2 ⇒x2=R2−y2

Q: Find the volume of spherical segment of one base and altitude h cut from a  sphere of radius a.

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Q: A cone has been cut from the upper half of the unit ball as the figure below shows. Then what is the…

A: Consider the conical cavity inside the unit hemisphere. The radius of the sphere is 1 unit and the…

Q: Compute the volume lying inside the sphere x? + y? + z? = 37 but outside of x² + y? = 21.

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Q: What is the fomula for the volume of a sphere?

A: A sphere is a set of points in space that are a given distance r from the center.

Q: Find the volume of a sphere with a surface area of 144n in?. The volume is in. (Type an exact answer…

A: Our Aim is to find the volume of a sphere with a surface area of 144π inch2.

Q: For a sphere whose radius has length 3 m, find the approximate a) surface area. b) volume.

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Q: The volume of the open cylindrical tank is

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