164 THE YOUTH’S CABINET.

 

ANSWER TO MATHEMATICAL QUESTION.

Mr. Eprror,—Among the mathemati-
cal problems on the 36th page of the
Cazrinet, I notice one that I have not
seen answered. It is this:—‘ What is
the diameter of a circular field, to be
fenced eleven rails high—two lengths to
a rod, and every rail to fence an acre ?”

Now, by the nature of the question,
every space a rod wide at the circum-
ference, and terminating at a point in the
centre of the field, must contain 22 acres,
the length of which is 7,040 rods—equal
to half the diameter ; the whole diameter
being 14,080 rods, or 44 miles, which is
the answer. Again, for every rod of cir-
cumference there is 3,520 square rods
of area, or 3,520X3°14159 of area to
one rod of diameter. If x = the diame-
ter, then 7? = 2X11058°3968 x 449,00.
g == 110588268 rods, or 44 miles, as be-
fore, being a little loss in decimals.

Very respectfully yours,
Unica, N. Y. T. H. W.

 

CHARADE NO. VI.

My first is very pleasing to children,
and not particularly disagreeable to any
of us.

My second is exceedingly valuable, if
rightly employed; but otherwise, it is
the source of much evil.

My third is a little word, in itself con-

sidered, but sometimes becomes of great |.

importance from its connection with
others.
My whole is an island in the Pacific.
A CHOCTAW GIRL.

 

CHARADE NO, VII,
My first is a welcome sight to a
thirsty traveler.

My second has something to do with
xyself. |

My third is a delicious fruit.
My whole is a city in Asia.
ESTELLE.

 

ARITHMETICAL QUESTIONS NO. III.

1. A boy went into an orchard to
gather apples. On his return home, he
went through three different toll-gates.
At the first of the gates, he left half of his
apples and half an apple more; at the
second, half of the remainder and half an
apple more; at the third, half of the re-
mainder and half an apple more. This he
did without dividing an apple. He had
one left. How many apples had he when
he started, and how did he manage at
the different gates ?

2. There are three packages of cloth,
containing 10, 30, and 50 yards, respec-
tively. It is required to sell all the
cloth in each package at the same price
per yard, so as to receive the same
amount for each package. |

8. A stock-buyer wished to purchase
100 head of stock, consisting of cattle,
sheep, and hogs, for 100 dollars, at the
following prices :—cattle, 10 dollars per
head; hogs, 3 dollars per head; and
sheep, 50 cents per head. How many
of each kind must he buy ?

BIBLICAL QUESTIONS NO. I.

1. What book in the Bible, which,
though it shows most clearly the agency
of God, contains not one of the names
usually applied to him?

2. The word eternity is mentioned but
once in the Bible. Where do you find
it?

8. In what verse of the Bible do you
find the whole alphabet, J only except-
ed? ELIZABETH R. B.