Solid Geometry

Cover Solid Geometry
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1437. The base of a cylinder is inscribed in a face of a cube whose edge is 10 inches. Find the altitude of the cylinder if its volume is equal to the volume of the cube.
Ex. 1438. A block of marble in the form of a regular prism is 10 feet long and 2 feet 6 inches square at the base. Find the volume of the largest cylindrical pillar that can be cut from it.
Ex. 1439. The Winchester bushel, formerly used in England, was the volume of a right circular cylinder 18J inches in internal diameter and
... 8 inches in depth. Is this the same volume as the bushel used in the United States (2150.42 cubic inches) ?
Ex. 1440. To determine the volume of an irregular body, it was immersed in a vessel containing water. The vessel was in the form of a right circular cylinder the radius of whose base was 8 inches. On placing the body in the cylinder, the surface of the water was raised 10J inches.
Find the volume of the irregular solid.
Ex. 1441. In draining a certain pond a 4-inch tiling (i.e. a tiling whose inside diameter was 4 inches) was used.


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