Find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius 4 feet. (Surface area of a cylinder of radius r and height h is 2arh.)

Q: Q. A square prism of base edge 40 mm and height 50 mm is resting on its base. Develop its lateral…

A:

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

A:

Q: A regular hexagonal prism is inscribed in a cylinder of radius 6 and height 4. What is the surface…

A:

Q: 6) Find the lateral surface area of the cone.

A: Given,            The figure of a cone is shown below :

Q: A machinist is required to manufacture a circular metaldisk with area 100 cm2 .(a) What radius…

A: Let the radius = r cm  So the area is =πr2 cm2 .

Q: The altitude of a spherical segment is 12 cm drawn on a sphere whose diameter is 50 cm. The radius…

A: Here I am attaching image so that you understand each and every step.

Q: The base of a right prism is a regular hexagon whose sides are 8 cm in length. The height of the…

A: (a) part It is given that, side of regular hexagon=8 cmheight altitude=13 cm First, find the…

Q: The diameter and height of a paraboloid are 1 m and 2 m respectively. Determine its dimensions when…

A: Given, Diameterd=1 mHeighth=2 m The formula for finding the volume of the paraboloid is, V=π2hr2

Q: A frustum of a cone has base radii 2 and 5 and height h=4 h What is the surface area of the frustum…

A:

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: what is the surface area of the following sphere with radius 7mi?

A: Given that radius of sphere is 7m.

Q: Find the surface area of a sphere of radius .

A:

Q: For a sphere whose radius has length 7 cm, find the approximate a) surface area. b) volume.

A: surface area of a sphere is 4πr2 square unitsvolume of a sphere is 43πr3 cubic units.where r is the…

Q: Find the area of lateral surface of a frustum of cone with altitude 4m. Radius of upper and lower…

A: Explanation: Here in the given question, we have a height/Altitude of a frustum of cone = 4m The…

Q: Calculate the surface area of a sphere of radius a.

A:

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: A cone has a volume V. What base radius and height will minimize the lateral surface area?

A: Given, a cone with volume V. Let the slant height of the cone m , radius R and height H.   The…

Q: The sides of the base of a regular octagonal pyramid is 8 cm. The angle between the lateral edges…

A:

Q: Find the volume of the smaller wedge cut from a sphere of radius 10 by two planes that intersect…

A: Here we have to find the volume of the similar wedge cut from a sphere of radius 10 by two planes…

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: A cone with radius 5 and height of 10 is intersected herirontally by a plane. At the point of…

A: Given data, Radius of cone, R = 5 units Height of cone, H = 10 units A plane is intersection…

Q: Find the surface area of the sphere with radius of 7 in. Leave your answer in terms of 7.

A: surface area of sphere = 4πr2 r = radius of sphere

Q: What is the surface area of a right cone whose base diameter is 40 cm and whose height is 21 cm?

A:

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: A square pyramid whose base width is óm has an altitude of 12m is cut by a plane parallel to the…

A:

Q: 2. Find the surface area of a right circular cone with a radius of 6 ft and a slant height of 11 ft.

A: we have to find the surface area of the cone.

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: 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…

A:

Q: Use the theorems of Pappus to find the lateral surface area and the volume of a right-circular cone.

A: To determine the lateral surface area and volume of right circular cone.

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 can of tennis balls is twelve inches high and has a diameter of four inches. The can holds three…

A: Volume left between can and tenis balls =  Volume of cylinder - volume of 3 balls.

Q: Find the surface area of a sphere with a 3ft radius in terms of ?

A:

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: A cone with a circular base of radius 6 cm is to be made so that the distance from the apex of the…

A:

Q: Show the surface area and volume of a sphere with radius ris 47r² and ¹³ πι respectively.

A: The objective is to show that the surface area and volume of a sphere with radius r is 4πr2 and…

Q: A cylindrical can of tuna has a diameter of 8 cm and a height of 4 cm. Determine the surface area of…

A: Consider the given diameter 2r=8cm and height h=4cm 2r=8rr=82=4

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: 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 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 of radius 6 cm is drilled through the center of a sphere of radius 10 cm. How much of the…

A:

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

A:

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: 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: A right-circular cylinder is to be inscribed in a sphere of given radius. Find the ratio of the…

A:

Q: Find the lateral area and volume of the frustum of a right circular cone having a slant height of…

A: Given query is find volume and the lateral area of frustrum.

Q: what is the surface area of a circular cone with a radius of 6ft and a height of 14ft?

A:

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

A:

Q: Find the volume of liquid needed to fill a sphere of radius R to height R y V = 씨5

A:

Q: Find the a) lateral surface area and b) Volume of the pyramid with a square base 7 ft. on a side and…

A: