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Required the weight of an iron fhot whose diameter is 2.4228 inches.

Ans. 2 lb.

PROBLEM VI.

To find the caliber of a gin to answer a ball of a given weight.

RULE.

To the diameter in inches add one-twentieth of the same, and the sum gives the caliber for English guns.

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Ex. 2. Required the caliber of a 32 pounder. Anf. 6.410. Ex. 3. Required the caliber of a 12 pounder. Anf. 4.623. Ex. 4. Required the caliber of a 24 pounder. Anl-5.824.

It is customary in Britain to allow one-twentieth part more for the diameter of the bore than for the diameter of the shot ; i. e. the diameter of the bore is to that of the thot in the proportion of 21 to 20

A

A Table of the Diameters of the Shots and Calibers of Englise Gums.

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1.923 2.423 2.775 3.05.3 3.288 3.498 3.679 3.846 4.000 Diameters.

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4.143 4.277 4.403 4.522 4.635 4.743 4.846 4.945 5.040 5.131 Diameters.

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4.349 4.490 4.623 4.748 4.866 4.981 5.088 5.192 5.292 5.368 Calibers. 5.220 5-305 5.388 5.409 5.547 5.623 5.697 5.709 5.839 5.908 Diameters.

2

5.480 5.570 5.661 5.742 5.824 5.893 5.982 6.057 6.129 6.203 Calibers.

3

5.975 6.041 6.105 6.168 6.230 6.290 6.350 6.408 0.465 6.521 Diameters. 6.273 6.343 6.410 6.475 6.541 6.604 6.666 6.707 0.788 6.846 Calibers.

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6.576 6.031 6.684 6.737 6.789 6.640 6.890 6.940 6.989 17.037 Diameters. 4

6.904 16.962 17.018 17.076 | 7.128 17.182 7 234 | 7.287 ! 7.338 17:383 Calibers. Explication of the above Table. In the left-hand column fand the tens, in the top line the units; e. g. When you would know the diameter of a 42 lb. ball, and the caliber of its gun, look for 4 In the left-hand column, and for 2 at the top, and. below 2 and opposite to 4 is the diameter and caliber required: And so of the rest.

PROBLEM VII.

To find how many pounds of gunpowder will fill a rectangular box.

RULE.

Divide the folidity of the box in inches, by 30, and the quotient will give the number of pounds.

EXAMPLE I.

How much powder will a box contain, whose length is 16 inches, breadth 10, and depth 9 inches ?

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Ex. 2. How much powder will a cubical box contain whose depth is 12 inches ?

Anf. 57} lb. Ex. 3. What quantity of powder will fill a box 15 inches long, 12 broad, and 8 inches deep?

Anf. 46 lb.

PROBLEM VIII.

To find the side of a cubical box that shall contain a given weight of

powder.

RULE.

RULE.

Multiply the weight in pounds by 30, and the cube root of the product will give the side of the box in inches.

EXAMPLE I.

Required the side of a' cubical box that shall contain 57} lb. powder.

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Ex. 2. Required the side of a cubical box to contain 900 lb. powder.

Ans. 30 inches Ex. 3. Required the fide of a cubical box to contain 12 Ib. gunpowder.

Ans: 15 inches.

PROBLEM IX.

To find what quantity of powder will

fill a given cylinder.

RULE.

Multiply the square of the diameter by the length, and divide the product by 38.197 for the pounds of powder.

EXAMPLE EXAMPLE I.

How many pounds powder will fill a cylinder whose diameter is 8 inches and the length to inches.

8
8

64
IO

38.197)640.000(16.75 lb.

38197
258030
229182

288480
267379

211010
190075

10035

Ex. 2. How much powder will fill a cylinder whose diameter is 10 inches and length 16 inches?

And. Ex. 3. Required the weight necessary to fill a cylinder of 8 inches diameter and 20 in length. Ang:

Diameters

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