College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
The tank shown is full of water. Find the work required to pump the water out of the spout.
Transcribed Image Text:### Prism Tank Measurement Diagram
This diagram illustrates a prism tank with several labeled dimensions, useful for calculations related to volume, surface area, or construction.
**Dimensions**:
- **Height of the tank**: 4 meters
- **Top width**: 3 meters
- **Length**: 10 meters
- **Height of the inlet pipe**: 2 meters
**Key Features**:
1. **Prism Shape**: The tank has a prismatic shape, characterized by a uniform cross-section. The cross-sectional shape appears to be trapezoidal, crucial for calculating volume and surface area.
2. **Inlet Pipe**: Located at one end of the tank, the inlet pipe is raised 2 meters above the base of the tank, extending outward. This inlet is likely used for filling the tank with liquid.
**Applications**:
- **Volume Calculation**: To find the volume of the tank, use the formula for the volume of a prism: \( Volume = Base\ Area \times Height \). First, calculate the area of the trapezoidal base and multiply it by the length (10 meters).
- **Surface Area Calculation**: To find the surface area, calculate the area of each face and sum them up. This involves finding the areas of the trapezoidal ends and the rectangular sides.
This type of diagram is useful in educational resources for explaining geometric properties and practical applications in fields such as engineering and architecture.
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