R O S B E D    R    O O  L ???

(Math in E V E R Y D A Y    L I F 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!

 

Follow-up Math  Problems  --  Click here!

 

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Dr. Robert J. Rapalje Altamonte Springs Campus
Contact me at:   rapaljer@seminolestate.edu
Phone number:  NONE Retired!!
OFFICE:          NONE  
Copyright © Seminole State College of Florida, 1997