R
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P O
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???
(Math
in E
V
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D A
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E)
Dr. Robert J. Rapalje
Seminole State College of Florida
Sanford, FL 32773
1. Now
that Dr. Rapalje is retired, he is digging a circular hole in his yard!!
The hole is to be 18 feet across and 18 inches deep. How many
cubic yards of dirt must be removed from the hole?
Everyday Solution:
To
find the amount of dirt to be removed, you have to multiply the
depth of the hole
times the area of the
circle, and put
everything into the same units, preferably yards, since you want to know how
many cubic yards of dirt to remove.
Area of a circle
is a common formula,
,
where
is
ALWAYS a little bit more than
and
the radius
(halfway across) is about
9 feet
or 3 yards.
So the area of the circle
is about
.
Multiply this times the
depth of the hole,
which is 18 inches
or a half yard.
Half of 27 is 13.5
cubic yards.
Round it UP to approximately
14 cubic yards.
(That’s the final answer, and for a senior citizen without a back hoe,
that’s a LOT of dirt!!)
Math Solution:
The
basic formula needed for this problem is the volume of a cylinder, which
is

Substitute all the values, and it looks like this:

Get
out a calculator, and you get approximately
cubic
yards.
2. Is
he digging a swimming pool or a rose bed?
Click here for the answer!
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