# Science:Math Exam Resources/Courses/MATH101/April 2010/Question 04

MATH101 April 2010
Other MATH101 Exams

### Question 04

A colony of ants builds an anthill that is in the shape of a cone whose base, at ground level, is a circle of diameter 1 ft and whose height is also 1 ft. How much total work, in ft${\displaystyle \cdot }$lbs, is done by the ants in building the anthill? For the density of sand, use the value ${\displaystyle 150\,{\text{lb}}/{\text{ft}}^{3}.}$

 Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

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