Question

A fire hydrant is composed of three cylinders, as shown below. All measurements show the inside diameters and lengths. What volume of water is in the pipes when they are full? Round to the nearest hundredth of a cubic centimeter.
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Answer 1

Answer:

The volume of water in the pipes is:

• 17003.87 cm^3

Step-by-step explanation:

To identify the volume of a cylinder, the formula is usually used:

• Cylinder volume = PI * radius of the circular flat face squared * height of the cylinder.

We will start with the calculation of the largest cylinder:

• Largest cylinder volume = PI * (7.5 cm)^2 * 90 cm (remember that the radius is the distance from the edge of the circle to the middle of the circle, so the radius is not the 15 cm shown by the image but 7.5 cm)

• Largest cylinder volume = 15904.31 cm^3

Since the two lateral cylinders are the same size, only one calculation will be made and at the end, it will be multiplied by two:

• Small cylinder volume = PI * (5cm)^2 * 7cm
• Small cylinder volume = 549.78 cm^3

Multiplying the result by two to obtain the volume of the two cylinders:

• Small cylinder volume = 549.78 cm^3 * 2 = 1099.56 cm^3

Finally, to obtain the total volume of the entire fire hydrant, the calculated volumes are added:

• Total volume of water = 15904.31 cm^3 + 1099.56 cm^3 = 17003.87 cm^3