volume for a cylinder

May 2010
53
1
Altlanta GA
For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the volume? (Use π = 3.14)
A)
1686 in3
B)
1962 in3
C)
2008 in3
D)
2154 in3
 

e^(i*pi)

MHF Hall of Honor
Feb 2009
3,053
1,333
West Midlands, England
For this cylinder the radius r = 6.8 inches and the height L = 14.2 inches. Which is the BEST estimate for the volume? (Use π = 3.14)
A)
1686 in3
B)
1962 in3
C)
2008 in3
D)
2154 in3
The volume of a prism is given by \(\displaystyle \text{ Cross Sectional Area } \times \text{ Length}\)

For a cylinder the cross section is equal to that of a circle, hence the volume is given by \(\displaystyle V = \pi r^2 l\)

I get an answer of 2061.75 which doesn't seem all that close