Elements of Geometry And Trigonometry: With Applications in Mensuration
Elements of Geometry And Trigonometry: With Applications in Mensuration
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To quickly assess the difficulty of the text, read a short excerpt:
What is tlie convex surface of the frustum of a cone, of which the slant height is \2\ feet, and the circumfe- rences of the bases 8, 4 and 6 feet.
We merely take the sum of the circumferences of the bases, and multiply by half the slant height, or side.
Operation.
8. 4 6 14. 4 half side 6. 25 area = 90 sq. Fi.
2. What is the entire surface of the frustum of a cone, the side being 16 feet, and the radii of the bases 2 and 3 feet ?
Ans. 292. 1688 sq. Ft.
3. What is the convex surface of the frus...tum of a cone, iho circumference of the greater base being 30 feet, and of fiio less 1 feet ; the slaut height being 20 feet ?
Ans. 400 sq. Ft.
4. Required the entire surface of the frustum of a couh whose slant height is 20 feet, and the diameters of the basc^ 8 and 4 feet Ans. 439. 824 sq. Ft.
22 ^ ^ 254 A F P L 1 C A T IONS Mensuration of the Round Bodies, PROBLEM VI.
To find the solidity of the frustum of a cone RULE.
I. Add together the areas of the two ends and a geometrical mean betweeti them II.
What to read after Elements of Geometry And Trigonometry: With Applications in Mensuration?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
What is tlie convex surface of the frustum of a cone, of which the slant height is \2\ feet, and the circumfe- rences of the bases 8, 4 and 6 feet.
We merely take the sum of the circumferences of the bases, and multiply by half the slant height, or side.
Operation.
8. 4 6 14. 4 half side 6. 25 area = 90 sq. Fi.
2. What is the entire surface of the frustum of a cone, the side being 16 feet, and the radii of the bases 2 and 3 feet ?
Ans. 292. 1688 sq. Ft.
3. What is the convex surface of the frus...tum of a cone, iho circumference of the greater base being 30 feet, and of fiio less 1 feet ; the slaut height being 20 feet ?
Ans. 400 sq. Ft.
4. Required the entire surface of the frustum of a couh whose slant height is 20 feet, and the diameters of the basc^ 8 and 4 feet Ans. 439. 824 sq. Ft.
22 ^ ^ 254 A F P L 1 C A T IONS Mensuration of the Round Bodies, PROBLEM VI.
To find the solidity of the frustum of a cone RULE.
I. Add together the areas of the two ends and a geometrical mean betweeti them II.
What to read after Elements of Geometry And Trigonometry: With Applications in Mensuration?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
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