How many gallons of water are in a pipe that is 8 feet in diameter and 10 feet long?

How many gallons of water are in a pipe that is 8 feet in diameter and 10 feet long?

• A. 1200 gallons
• B. 3758 gallons
• C. 5000 gallons
• D. 640 gallons

Answer: (B)

To determine the volume of water in a cylindrical pipe, you can use the formula for the volume of a cylinder, which is given by: \[ V = \pi r^2 h \] where \( V \) is the volume, \( r \) is the radius of the cylinder, and \( h \) is the height (or length) of the cylinder. In this case, the diameter of the pipe is 8 feet, so the radius \( r \) is half of that, which is 4 feet. The length \( h \) of the pipe is given as 10 feet. First, calculate the volume in cubic feet: 1. **Calculate the radius**: \( r = \frac{8 \text{ feet}}{2} = 4 \text{ feet} \) 2. **Calculate the volume**: \[ V = \pi (4 \text{ feet})^2 (10 \text{ feet}) = \pi \cdot 16 \text{ ft}^2 \cdot 10 \text{ ft} = 160\pi \text{ cubic feet} \] Using a calculator for \( \pi \approx 3.14

To determine the volume of water in a cylindrical pipe, you can use the formula for the volume of a cylinder, which is given by:

[ V = \pi r^2 h ]

where ( V ) is the volume, ( r ) is the radius of the cylinder, and ( h ) is the height (or length) of the cylinder.

In this case, the diameter of the pipe is 8 feet, so the radius ( r ) is half of that, which is 4 feet. The length ( h ) of the pipe is given as 10 feet.

First, calculate the volume in cubic feet:

1. Calculate the radius:

( r = \frac{8 \text{ feet}}{2} = 4 \text{ feet} )

2. Calculate the volume:

[

V = \pi (4 \text{ feet})^2 (10 \text{ feet}) = \pi \cdot 16 \text{ ft}^2 \cdot 10 \text{ ft} = 160\pi \text{ cubic feet}

]

Using a calculator for ( \pi \approx 3.14