ΒΆ 2008 AMC8 Problem 21
Problem:
Jerry cuts a wedge from a -cm cylinder of bologna as shown by the dashed curve. Which answer choice is closest to the volume of his wedge in cubic centimeters?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Using the formula for the volume of a cylinder, the bologna has volume . The cut divides the bologna in half. The half-cylinder will have volume .
Note: The value of is slightly greater than , so to estimate the volume multiply . The product is slightly less than and closer to answer than any other answer.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions