CWEA Collections Grade 2 Journey/Analyst Practice Test 2025 - Free Practice Questions and Study Guide

Question: 1 / 400

If 300 feet of 12-inch pipe is uniformly coated with one inch of grease, how many gallons will it hold when filled with water?

1500 gallons

1223.31 gallons

To determine how many gallons of water a pipe holds when filled, we can start by calculating the total internal volume of the pipe with the grease coating factored in.

First, note the dimensions of the pipe: it's a 12-inch diameter pipe with a 1-inch coating of grease. The effective diameter of the inner pipe when filled with grease becomes 12 inches - 2 inches (1 inch on each side) = 10 inches.

Next, we need to calculate the volume of that inner section of the pipe. The formula for the volume \( V \) of a cylinder is:

\[

V = \pi r^2 h

\]

where \( r \) is the radius and \( h \) is the height (or length) of the cylinder.

1. The radius of the inner pipe with grease is \( 10 / 2 = 5 \) inches.

2. The height of the pipe is 300 feet. We need to convert this to inches: \( 300 \text{ feet} \times 12 \text{ inches/foot} = 3600 \text{ inches} \).

Now, we can plug these values into the formula:

\[

V = \pi (

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1000 gallons

1750 gallons

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