The Practical Arithmetic Designed for Such Institutions As Require a Greater N

Cover The Practical Arithmetic Designed for Such Institutions As Require a Greater N
The Practical Arithmetic Designed for Such Institutions As Require a Greater N
George R George Roberts Perkins
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RULE.
Multiply the square of the diameter by 3 '141 6. (Geome- try, B. VIII. , Prop. XIII. , Schol. ) EXAMPLES, 23. How many square miles on the surface of the earth, on the supposition that it is an exact sphere of 8000 miles in diameter ?
NOTE. In order to obtain a value true to a unit, we must use, for our multiplier, 3-14159265, instead of 3-1416.
24. How many superficial inches has a ball 6 inches in diameter?
PROBLEM X. To find the volume of a sphere, when its diameter is given.
RULE.
Mul
...tiply the cube of the diameter by 0'5236, which is ^ of 3-1416. (Geometry, B. VIII. , Prop. XIII. , Schol. ) EXAMPLES.
25. How many cubic inches in a ball 6 inches in diameter ?
NOTE. Compare the number of superficial inches and of cubic inches in a sphere 6 inches in diameter.
26. How many cubic inches in a ball of the celebrated Stockton gun, the diameter of which is 12 inches?
292 MENSURATION. [CHAP. XVIIL The following table of multipliers will be found very convenient for solving nearly all problems which can arise in mensuration of cir- cles and spheres.


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