A Complete Course of Questions in Arithmetic and Mensuration, for the Use of Schools and Private Students

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Henry Pawson, 1858 - Arithmetic - 119 pages
 

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Page 98 - PROBLEM I. To find the area of a parallelogram, whether it be a square, a rectangle, a rhombus, or a rhomboides.
Page 116 - If a heavy sphere, whose diameter is 4 inches, be let fall into a conical glass, full of water, whose diameter is 5, and altitude 6 inches ; it is required to determine how much water will run over ? AHS.
Page 115 - Ans. the upper part 13'867. the middle part 3 '605. the lower part 2-528. QUES J. 48. A gentleman has a bowling green, 300 feet long, and 200 feet broad, which he would raise 1 foot higher, by means of the earth to be dug out of a ditch that goes round it: to what depth must the ditch be dug, supposing its breadth to be every where 8 feet ? Ans. 7^| feet. QUEST. 49. How high above the earth must a person be raised, that he may see ^ of its surface ? Ans. to the height of the earth's diameter.
Page 47 - Rs. 100 and the simple interest on the same sum for the same time and at the same rate is Rs. 120. Find the sum and the rate percent. 57. x T£>. „ f 120x100
Page 110 - ... cubic yards of earth must be dug out in making a tunnel 100 yds. long, whose section is a semicircle with a radius of 10 ft. ? 417. The bill for digging a well 45 ft. deep, and 3 ft. 9 in. in diameter was $82.50. Find the charge per cubic yard. 418. If a cubic foot of brass is drawn into a wire ^ of an inch in diameter, what will be the length of the wire? 419. What will it cost to sink a well 50 ft. deep and 3f ft.
Page 111 - VI.). 1. To find the solidity of the frustum of a cone, the altitude being 18, the diameter of the lower base 8, and that of the upper base 4. Ans. 527.7888. 2. What is the solidity of the frustum of a cone, the altitude being 25, the circumference of the lower base 20, and that of the upper base 10? Ans. 464.216. 3. If a cask, which is composed of two equal conic frustums joined together at their larger bases, have its bung diameter 28 inches, the head diameter 20 inches, and the length 40 inches...
Page 70 - The interest on a certain sum of money is £180., and the discount on the same sum for the same time and at the same rate is £150.
Page 65 - Find the simple interest on £3540 10». for 3 years at 4£ per cent., and the discount on the same sum for the same time, at the same rate of interest. 4. Explain the principle upon which fractions are reduced to equivalent fractions, having a common denominator. Express by equivalent fractions with the least common denominator -, — , j- • 14 17 19 т, , ., , ,, 5371 IE' 20' aГ
Page 114 - EXAMPLES. 1. What is the solidity of an anchor ring, whose inner diameter is 8 inches, and thickness in metal 3 inches ? 8-1-3 = 11: then, 11 X(f)2X 9,8696 ^244,2726, which expresses the solidity in cubic inches.
Page 101 - Find the area of a field in the form of a trapezoid whose altitude is 120 m and whose parallel sides are 130 m and 180 m.

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