# Pump output

scientist
The cylinder of a pump has a 6 inch diameter. The stroke is 8 inches in length with 200 strokes per minute. Find the output of the pump in gallons per minute.

Homework Helper
Output in gal/min = cylinder volume (in gals.) * number of strokes per min.

Homework Helper
As a followup to EnumaElish's reply.. Are you in good shape finding the volume of the cylinder?http://www.mathleague.com/help/geometry/3space.htm#cylinder [Broken]
The question states the diameter, all you need is the length (which is implied in the problem description)

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scientist

EnumaElish said:
Output in gal/min = cylinder volume (in gals.) * number of strokes per min.
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Can yourself EnumaElish check my answer?

v = pi * r^2 * h
= (3.140) * (3^2) * (8)
= 226 cubic inches in each stroke

Total = 226 cubic inches x 200 strokes = 45,200 cubic inches

convert cubic inches to gallons ; 1 gallon = 231 cubic inches

45,200 cubic inches
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231 cubic inches

= 196 gallons

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scientist said:
= 196 gallons