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SKILL #6: Preserved volume or surface area 3km "That ain't no moon Chewie" Darth Vader decides he doesn't like the shape of his Death Star, so melts it down and rebuilds it using the same amount of material to form a Death Cube. What is the side length x of his Death Cube?Check Your Understanding h X Sphere melted to form cone. Express h in terms of x. This time the surface areas are h the same (and should be equated before simplifying) A solid hemisphere with radius x has the same surface area as a cylinder with radius x and height h. Determine the height of the cylinder in terms of x. ?Exercise 5 A sphere with radius r is melted to form a 4 A sphere with radius 3.x has the same cylinder of radius r and height h. surface area as a cylinder with radius 2x Determine h in terms of r. and height h. Find h in terms of x. [Edexcel] Pictured are a solid cone and a 2 A squared-based pyramid with base of side 5 solid hemisphere. The surface area of the x and height h is melted to form a cube of cone is equal to the surface area of the side 2x. Determine h in terms of x. hemisphere. Express h in terms of x." (Hint: you'll need Pythag to find slant height) 3 A hemisphere of radius 2x is melted to form a cone of radius x and height 2h. U Determine h in terms of x