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Shápe of the solid Dimensions to measure Choose... Measured dimensions Diameter Height Select the letter of the formula used to determine the volume of the solid. A. V = L3 B. V = L x W × H Choose... C. V = D²H 4 Volume of solid (cm3) Show your work for this calculation. You can upload an image to the text box. As you enter text or an image, t textbox will expand.

Shápe of the solid Dimensions to measure Choose... Measured dimensions Diameter Height Select the letter of the formula used to determine the volume of the solid. A. V = L3 B. V = L x W × H Choose... C. V = D²H 4 Volume of solid (cm3) Show your work for this calculation. You can upload an image to the text box. As you enter text or an image, t textbox will expand.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Volume of Solid **Shape of the solid:** Cylinder **Dimensions to measure** **Measured dimensions:** - Diameter: 3.88 cm - Height: 7.27 cm **Select the letter of the formula used to determine the volume of the solid:** - A. \( V = L^3 \) - B. \( V = L \times W \times H \) - C. \( V = \frac{\pi D^2 H}{4} \) **Volume of solid (cm³)** **Show your work for this calculation.** You can upload an image to the text box. As you enter text or an image, the textbox will expand. --- #### Explanation of Formulas: - **Formula A:** \( V = L^3 \) - This formula is used to calculate the volume of a cube where \(L\) represents the length of one side of the cube. - **Formula B:** \( V = L \times W \times H \) - This formula is used to calculate the volume of a rectangular prism where \(L\), \(W\), and \(H\) represent the length, width, and height respectively. - **Formula C:** \( V = \frac{\pi D^2 H}{4} \) - This formula is used to calculate the volume of a cylinder where \(D\) represents the diameter and \(H\) represents the height of the cylinder. This formula can also be expressed as \( V = \pi r^2 H \) where \(r\) is the radius of the cylinder (with \(r = \frac{D}{2}\)). To calculate the volume of the given cylinder, you will use **Formula C**.
Transcribed Image Text:### Volume of Solid **Shape of the solid:** Cylinder **Dimensions to measure** **Measured dimensions:** - Diameter: 3.88 cm - Height: 7.27 cm **Select the letter of the formula used to determine the volume of the solid:** - A. \( V = L^3 \) - B. \( V = L \times W \times H \) - C. \( V = \frac{\pi D^2 H}{4} \) **Volume of solid (cm³)** **Show your work for this calculation.** You can upload an image to the text box. As you enter text or an image, the textbox will expand. --- #### Explanation of Formulas: - **Formula A:** \( V = L^3 \) - This formula is used to calculate the volume of a cube where \(L\) represents the length of one side of the cube. - **Formula B:** \( V = L \times W \times H \) - This formula is used to calculate the volume of a rectangular prism where \(L\), \(W\), and \(H\) represent the length, width, and height respectively. - **Formula C:** \( V = \frac{\pi D^2 H}{4} \) - This formula is used to calculate the volume of a cylinder where \(D\) represents the diameter and \(H\) represents the height of the cylinder. This formula can also be expressed as \( V = \pi r^2 H \) where \(r\) is the radius of the cylinder (with \(r = \frac{D}{2}\)). To calculate the volume of the given cylinder, you will use **Formula C**.
# Using Conversion Factors in Problem Solving 1. **Enter your height in inches (in)**: [_____] 2. **Convert your height to centimeters (cm)**: [_____] 3. **Convert your height to meters (m)**: [_____] (Optional) Show your work for this calculation. You can upload an image to the text box. As you enter text or an image, the textbox will expand. --- **Explanation**: This educational interface provides a step-by-step method of converting height measurements from inches to centimeters and meters. Here’s a breakdown of the steps and their purpose: - **Step 1**: You are prompted to enter your height in inches. This is the starting measurement that will be converted in subsequent steps. - **Step 2**: Convert the height given in inches to centimeters. This demonstrates the process of unit conversion using the conversion factor (1 inch = 2.54 centimeters). - **Step 3**: Convert the height from inches to meters. This further extends the conversion to another unit system, showing a conversion factor (1 meter = 100 centimeters). A textbox is provided at the bottom for optional use. Students can show their work, provide detailed calculation steps or upload images that support their work. As you add text or images, the textbox will automatically expand to accommodate the content. Additionally, there are diagrams or illustrations accompanying each step, represented by icon placeholders in the original text. These visual aids are designed to guide users through each part of the conversion process.
Transcribed Image Text:# Using Conversion Factors in Problem Solving 1. **Enter your height in inches (in)**: [_____] 2. **Convert your height to centimeters (cm)**: [_____] 3. **Convert your height to meters (m)**: [_____] (Optional) Show your work for this calculation. You can upload an image to the text box. As you enter text or an image, the textbox will expand. --- **Explanation**: This educational interface provides a step-by-step method of converting height measurements from inches to centimeters and meters. Here’s a breakdown of the steps and their purpose: - **Step 1**: You are prompted to enter your height in inches. This is the starting measurement that will be converted in subsequent steps. - **Step 2**: Convert the height given in inches to centimeters. This demonstrates the process of unit conversion using the conversion factor (1 inch = 2.54 centimeters). - **Step 3**: Convert the height from inches to meters. This further extends the conversion to another unit system, showing a conversion factor (1 meter = 100 centimeters). A textbox is provided at the bottom for optional use. Students can show their work, provide detailed calculation steps or upload images that support their work. As you add text or images, the textbox will automatically expand to accommodate the content. Additionally, there are diagrams or illustrations accompanying each step, represented by icon placeholders in the original text. These visual aids are designed to guide users through each part of the conversion process.
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