57) The region cut from the first quadrant by the circle x2 + y2 = 64 A) x = 8 y = 8 B) x = 4, y = 4 32 C) x = 0, y = . D) x = 2, 32 y =

Q: The base of a pyramid is a regular hexagon with sides y cmlong. The lateral edges are 2y cm long.…

A: The base area of the pyramid is the area of a regular hexagon with a side length of y cm.  So the…

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: Evaluate , ydV where E is the hemispherical solid region x? + y? + z? 0.

A: x^2+y^2+z^2 <=64, y>=0

Q: The lateral surface of the right circular cone is cut along an element and the surface is spread out…

A: Given that the lateral surface of the right circular cone is cut along an element and the surface is…

Q: Assume that a cell is a sphere with radius `10^{-3}`  or 0.001 centimeter, and that a cell’s density…

A: given: a cell is a sphere with radius or 0.001 centimeter and a cell’s density is 1.1 grams per…

Q: Find the volume of liquid needed to fill a sphere of radius R to height h = R %3D 3

A: To find → volume of liquid needed to fill a sphere of radiusR to height h=R3

Q: Two cubes each of volume 27 cm3 are joined end to end to. Form a solid. Find the surface area of the…

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Q: Calculate the volume of a cylinder inclined at an angle θ = 30◦ with height 10 and base of radius 4…

A: Given,  A cylinder with height 10 and base of radius 4. Also, it inclined at an angle of θ=30°.…

Q: A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 3.0 ft and…

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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: 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: Find the volume of the torus generated by revolving the circle (x−5)2+y2=4 about the​ y-axis. What…

A: Here, equation of circle is: (x-5)2+y2=4 So, the centre of the circle is (5,0) and radius will be 2.…

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 liquid needed to fill a sphere of radius R to height . R y

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

A:

Q: 5. Find the volume of spherical wedge formed by rotating through an angle of 45 a semi circle of…

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Q: A grain silo consists of a main part which is a cylinder, topped by a hemispherical roof. Suppose…

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Q: Compute the volume lying inside the sphere x2 + y? + z2 = 35 but outside of x² + y? = 19.

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Q: A wedge is obtained by cutting a cglinde of vading 10 with a plone per pendliculor to principal axis…

A: To calculate the volume of the wedge.

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: A frustum of a conical tank whose upper radius is 10 cm, lower radius of 8 cm and height of 12 cm is…

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

A: The volume of cylindrical element with radius x and altitude dy.                    dV  =  πx2 dy…

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

A:

Q: A section of the sphere having centered at the origin and of radius 'a' is cut by the cone x? + y? =…

A: Given the sphere is centered at the origin and of radius a. Then the equation of the sphere is…

Q: A pyramid that has a square base with length 12 and height of pyramid is 8 and the lateral edge is…

A: For a square pyramid, we have base b = 12, height h = 8 and the lateral edge e = 11.7.

Q: Find the volume of the solid generated when the region enclosed by ry = 4, x + y = 5 revolved about…

A: The volume for solid of revolution between the curves xy=4 and x+y=5 around the x-axis:The volume…

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: 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 liquid needed to filla sphere of radius R to height R y V

A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

Q: A regular triangular pyramid has an altitude of 9 m and a volume of 46.8 m^3. Find the lateral area…

A: Given: Altitude of triangular pyramid: h=9  mVolume of the pyramid:  V=46.8  m3

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

A:

Q: A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g / cm3, find…

A: Given:            Radius of sphere =4.9 cm.

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

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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: The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 5800 lb of…

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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: 1. Determine the Lateral Area of the post 2. Determine its Volume 500mm COLUMN SECTION Copyright…

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Q: If the lateral area of a right circular cylinder is 88 and its volume is 220, find the radius. А. 2…

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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: Find the volume of the solid bounded by a lune with an area of 36t. The given angle is 25°. C D Q..…

A: To Find: the volume of spherical wedge bounded by lune with an area of 36π, and an angle of 25°.

Q: b) A bead is formed from a sphere of radius 5 by drilling through a diameter of the sphere with a…

A: Given,  Radius of sphere  R= 5  Bead radius   r= 3

Q: A stone bridge has three equal semicircular arches resting on four equal rectangular piers. The…

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Q: Engr Thomas Pendot wants to construct a frustum from a right circular cone. At what distance from…

A: Let h be the distance from the base of the right circular cone which also the height of the frustum.…

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

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Q: Calculate the volume of the region bounded by the sphere a2 + y? + z? = 5 from above and by the cone…

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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: . A cone with radius 9 and slant height 15 has volume ___and lateral area____?

A: to find the volume and lateral area.

Q: For a right circular cylinder, suppose that r= 6in and h= 7in Find the exact a) Lateral area L b)…

A: