Practical Mathematics Stage I
Practical Mathematics Stage I
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In our eReader you can find the full English version of the book. Read Practical Mathematics Stage I Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Practical Mathematics Stage I
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Example. The circumference of a circle varies directly as its diameter; and when the diameter is 21 inches the circumference is 66 inches: find the circumference when the diameter is 35 inches.
Let O and D represent the circumference and diameter respectively.
Then CocD . *. C = wD, where m is some constant but when D is 21, C = 66 . *. 66 = m x 21 hence m f = ^ /. C s *j* D [This equation gives the actual relation between the circumference and diameter of any circle. ] Thus when D is 35 C = yt... x 35 = 1 10 inches 108. We will work one or two more examples on direct variation by the latter method.
Example (i). The volume of a sphere varies as the cube of its diameter ; when the diameter is I inch, the volume is '5326 cub. Inch : find the volume zvhen the diameter M2'J inches.
Let V represent the volume and D the diameter, then V D 3 ; thus V = m D 3, where m is constant but when D = 1, V = '5236 . *. "5236 = m x 1 i. E. M = '5236 hence V = '5236 D 3 [This equation gives the actual relation between the volume and diameter of a sphere .
What to read after Practical Mathematics Stage I?
You can find similar books in the "Read Also" column, or choose other free books by A G Alfred George Cracknell to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Example. The circumference of a circle varies directly as its diameter; and when the diameter is 21 inches the circumference is 66 inches: find the circumference when the diameter is 35 inches.
Let O and D represent the circumference and diameter respectively.
Then CocD . *. C = wD, where m is some constant but when D is 21, C = 66 . *. 66 = m x 21 hence m f = ^ /. C s *j* D [This equation gives the actual relation between the circumference and diameter of any circle. ] Thus when D is 35 C = yt... x 35 = 1 10 inches 108. We will work one or two more examples on direct variation by the latter method.
Example (i). The volume of a sphere varies as the cube of its diameter ; when the diameter is I inch, the volume is '5326 cub. Inch : find the volume zvhen the diameter M2'J inches.
Let V represent the volume and D the diameter, then V D 3 ; thus V = m D 3, where m is constant but when D = 1, V = '5236 . *. "5236 = m x 1 i. E. M = '5236 hence V = '5236 D 3 [This equation gives the actual relation between the volume and diameter of a sphere .
What to read after Practical Mathematics Stage I?
You can find similar books in the "Read Also" column, or choose other free books by A G Alfred George Cracknell to read onlineMoreLess
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