Mensuration With Special Application of the Prismoidal Formula Designed for Su
Mensuration With Special Application of the Prismoidal Formula Designed for Su
Samuel Willis Furst
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69. 81251b. 8. A sphere is 20 inches in diameter ; what is the volume of an inscribed cube f Ans. 1, 539. 598+ cu. In. 9. The edge of a cube is 20 inches ; what is the volume of an inscribed sphere ? Ans. 4, 188. 8 cu. In. 10. The outside diameter of a hollow globe of uniform thickness is 16 inches and the inside diameter 14 inches ; how roany cubic inches of metal in the shell ? Ans. 707. 9072 cu. In. 52 MEy. Suiuriox 11. The main battery of the battleship Oregon has four 13 -inch, eight 8 -in...ch, and four 6 -inch guns ; if solid splierical balls were used instead of projectiles, what weight of metal would be required to load these once round, there being 450 pounds of the metal used to the cubic foot? Ans. 1, 874. 59+lb. 12. A hollow sphere having an inside diameter of 12 inches was filled with water ; if a solid ball 3 inches in diameter, a solid cylinder having a base 2 inches in diameter and 4 inches high, and a solid square pyramid whose base is 3 inches on a side and altitude 6 inches, were placed inside the sphere so as to displace part of the water, how many cubic inches of water would remain!
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