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. 1809 Excerpt: ...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 whose 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 31.416 feet and altitude 20 feet. 7. Find the volume of a square pyramid with a base 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 we increase a number by f of itself, the sum will be 80. What is the number? 4. f of a number increased by i of the number equals 27. Required the number. 5. A man spent J of his money for a horse, and then had $80 remaining. How much did the horse cost? 6. One-third of the length of a pole is in the air, J in the water, and 10 ft. in the ground. Required the length of the pole. 7. If a boy, after spending of his money for candy and for peanuts, found that 12 cents was ft of what remained, how much money had he? 8. My brother's age diminished by 7 years equals 15 years. How old is my brother? 9. A fishing-pole which is 12 ft. long lacks 3 ft. of being £ as long as the line....
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