Show that the rectangular box of maximum volume that can be inscribed in the sphere x^2 + y^2 + z^2 = a^2 is a cube
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Show that the rectangular box of maximum volume that can be inscribed
in the sphere x^2 + y^2 + z^2 = a^2
is a cube
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- The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.Find the height of the cylinder of maximum volume that can be inscribed in a sphere of radius a.
- Find the dimensions of a right circular cylinder of maximum volume which can be inscribed in a sphere of radius 12.Show that a closed right circular cylinder of given surface has maximum volume if its height equals the diameter of its base.Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
- Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere of radius 10 cm. What is the maximum volume?Find the dimensions of the right circular cone of minimum volume V that can be circumscribed about a sphere of radius 8 inches.Determine the dimensions of the right circular cylinder of maximum lateral surface area that can be inscribed in a sphere of radius 8 in.
- A rectangle with perimetee 18 cm is rotated about one of its sides forming a a right circular cylinder. What is the maximum possible volume of the cylinder in cm³?Find the volume of the largest right circular cylinder that can be inscribed in a sphere of radius r.find the dimension of a cylinder that can be inscribed in a given sphere if it's convex surface area is maximum.