Synopsis
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1898 Excerpt: ...to cover a 9-inch cube, than to cover a cylinder whose height and diameter are each 9 inches? 15. Find the volume of a cylinder whose altitude is 7 ft. 4 in. and the diameter of the base 5 ft. To illustrate this principle there should be in the room a hollow cone and cylinder, each having the same base and altitude, also a hollow pyramid and prism, each having the same base and altitude. These can easily be made from cardboard. Using sand or sawdust, let each pupil determine, by measuring, the ratio or relation of the contents of the cone to the contents of the cylinder, and the contents of the pyramid to the contents of the prism. This they will find to be one-third. Note.--To find surface, the slant height must be known; but to find volume or contents, the altitude must be known. Formulate a rule for finding contents of cones and pyramids. 1. Find the volume of a square pyramid each side of whose base is 4 ft. and altitude 18 ft. 2. Find the volume of a cone the circumference of whoso base is 9 ft., and whose altitude is 14 ft. 3. What is the volume of a square pyramid, the perimeter of whose base is 8 ft., and whose altitude is 10 ft.? 4. What is the volume of a pyramid whose base is 6 ft. square, and whose altitude is 21 ft.? 5. Find the volume of a cone whose diameter is 6 ft., and altitude 18 ft. 6. Find the volume of a cone whose circumference is 31.41(3 feet and altitude 20 feet. 7. Find the volume of a square pyramid with a ba.se 10 ft. square, and an altitude 25 ft. 8. Find the volume of a cone, when the circumference of its base is 48 ft., and its altitude 50 ft. ORAL. 1. A sailor took the sounding, and found the water to be 60 ft. deep. How many fathoms was it? 2. If we add J of a number to itself, the sum will be 36. What is the number? 3. If w...
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