30. You work as a design engineer at a solid rocket manufacturer. You are analyzing a propellant design that is 168 centimeters high. The outside radius of the propellant is 37.5 centimeters and the radius of the hole is 15.5 centimeters. About how many cubic centimeters is this propellant?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Description:**

You work as a design engineer at a solid rocket manufacturer. You are analyzing a propellant design that is 168 centimeters high. The outside radius of the propellant is 37.5 centimeters and the radius of the hole is 15.5 centimeters. About how many cubic centimeters is this propellant?

There is an accompanying diagram of a cylindrical object with a cylindrical hole through its center labeled "Not drawn to scale".

**Calculation Choices:**

F. 23,211
G. 126,737
H. 195,888
J. 615,088
K. 741,825

**Explanation of Diagram:**

The diagram shows a cylinder with another smaller cylinder (hole) passing through its center along its vertical axis. The dimensions provided are:

- Height of the cylinder: 168 cm
- Outside radius of the cylinder: 37.5 cm
- Radius of the hole: 15.5 cm

One would use the volumes of the cylinders to find the volume of the propellant by subtracting the volume of the hole from the volume of the larger outer cylinder.
Transcribed Image Text:**Problem Description:** You work as a design engineer at a solid rocket manufacturer. You are analyzing a propellant design that is 168 centimeters high. The outside radius of the propellant is 37.5 centimeters and the radius of the hole is 15.5 centimeters. About how many cubic centimeters is this propellant? There is an accompanying diagram of a cylindrical object with a cylindrical hole through its center labeled "Not drawn to scale". **Calculation Choices:** F. 23,211 G. 126,737 H. 195,888 J. 615,088 K. 741,825 **Explanation of Diagram:** The diagram shows a cylinder with another smaller cylinder (hole) passing through its center along its vertical axis. The dimensions provided are: - Height of the cylinder: 168 cm - Outside radius of the cylinder: 37.5 cm - Radius of the hole: 15.5 cm One would use the volumes of the cylinders to find the volume of the propellant by subtracting the volume of the hole from the volume of the larger outer cylinder.
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