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

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- May 29th 2010, 09:54 AMallsmilesvolume for a cylinder
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 - May 29th 2010, 10:16 AMe^(i*pi)
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