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. 1869 Excerpt: ... Outer diameter 19 inches, diameter of cross section 3j inches. 8. Outer boundary 15 inches, circumference of cross section 1'6 inches. 9. The volume of a ring is 800 cubic inches, the radius of the cross section is 2 inches: find the length of the ring. 10. The volume of a ring is 100 cubic inches, and the length is ...
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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. 1869 Excerpt: ... Outer diameter 19 inches, diameter of cross section 3j inches. 8. Outer boundary 15 inches, circumference of cross section 1'6 inches. 9. The volume of a ring is 800 cubic inches, the radius of the cross section is 2 inches: find the length of the ring. 10. The volume of a ring is 100 cubic inches, and the length is 20 inches: find the inner diameter. 49 x 5 _ 245: 4x4 _ 16 Thus the volume is lS cubic feet. (2) The radius of the base of a cone is 10 inches, and the height of the cone is 18 inches. 10 x 10 x 3-1416 = 314-16, 1 x 18 x 314-16 = 6 x 314-16 = 1884-96. Thus the volume is about 1884-96 cubic inches. 265. If we know the volume of a pyramid or a cone, and also the area of the base, we can find the height by dividing three times the number which expresses the volume by the number which expresses the area; and similarly, if we know the volume and the height, we can find the area of the base. 266. Examples. (1) The volume of a pyramid is a cubic yard, and the area of the base is 18 square feet: find the height. A cubic yard= 27 cubic feet; _ = = = 4J. Thus the height is 4J feet. (2) The volume of a cone is half a cubic foot, and its height is 27 inches: find the area of the base. Half a cubic foot = 864 cubic inches;--s--= 96. Thus the area of the base is 96 square inches. 267. We will now solve some exercises. (1) The base of a pyramid is a square, each side of which measures 10 feet; the length of each of the four edges which meet at the vertex is 18 feet: find the volume. We must determine the height of the pyramid. Let ABCD be the base, and E the vertex of the pyramid. Let EF be the height of the pyramid, that is, the perpendicular from E on the base; then F will be the middle point of the diagonal AC. D Now, by Art. 55, we shall find that the num...
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Add this copy of Mensuration for Beginners (German Edition) to cart. $111.44, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2020 by Salzwasser-Verlag Gmbh.