TABLE XLIV. SOLID CONTENT OF CYLINDRICAL TREES, ETC. 561 



G. Given the diameter and length, both in inches. 



Multiply the square of the diameter by the length, and the 

 product by .000434.52; the result is the content in cubic 

 feet. 



Or, multiply the square of the diameter by the length, and 

 divide the product by 2200.1579; the quotient is the con- 

 tent in cubic feet. 



NOTE. The fractional part of the last divisor (.1570) bearing 

 the proportion to the integral part of only 1 to 13930 may 

 be entirely omitted. 



This most convenient and easily remembered divisor was 

 first made known by the late Mr. Wilson of Thornly, near 

 Glasgow, in a work entitled " The Survey of Renfrew- 

 shire," published by him in 1812. Tt is the product of 

 the reciprocal of .7853981634, the area of a circle whose 

 diameter is 1 = 1.2732395, &c., multiplied by 1728, the 

 cubic inches in a solid foot. The following Table shows 

 its value and usefulness 



Cub. Ft. 



1728 cubical inches , , e . . . =1 

 2200 cylindrical inches , , . . . . =1 

 3300 spherical inches, or spheres, 1 inch in diameter, = 1 

 6600 conical ins. or cones, base 1 in. diam. and height 1 in. = 1 



Rule 6 shows the method of using 2200 to find the content 



of cylinders. 

 To find the content of a sphere: Cube the diameter in 



inches, and divide the product by 3300 ; the quotient is 



cubic feet. 

 To find the content of a cone : Multiply the square of the 



diameter by the height, both in inches, and divide the 



product by 6600 ; the quotient is cubic feet. 



The solid content of the frustum of a cone may be found, when 

 tlie dimensions are given in similar terms to any of the six cases 

 preceding, for finding the contents of a cylindrical tree, <fec., by 

 the following Rule- 

 Square the girths or diameters of the two ends, to which add 

 their product; multiply the sum by one-third of the length; and 

 multiply or divide the product by the number directed in that 

 one of the preceding Rules for finding the content of a cylinder, 

 the dimensions of which are in the same terms as the given 

 dimensions of the frustum ; the result is the content in cubic feet, 

 We shall calculate by this Rule the solid content of the tree, 

 the dimensions of which are given in the first example, viz., girth 

 at the one end 128 inches, at the other 96 inches, and length 15 

 ieet. 



