A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number. O 3617 O 192 O 2412 O 768 O 904 O 603

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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### U7L1-L5 SWYK - Spatial Reasoning

#### Question:
A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number.

#### Options:
- O 603
- O 3617
- O 768
- O 192
- O 2412
- O 904

#### Step-by-Step Solution:

1. **Given:**
   - Diameter of cylindrical can: 8 inches
   - Height of cylindrical can: 12 inches

2. **Find the radius:** 
   - Radius (r) = Diameter / 2 = 8 inches / 2 = 4 inches

3. **Volume of a cylinder:**
   - Volume (V) = πr²h
   
4. **Substitute the values:**
   - V = π * (4 inches)² * 12 inches
   - V = π * 16 inches² * 12 inches
   - V ≈ 3.14 * 16 inches² * 12 inches
   - V ≈ 3.14 * 192 cubic inches
   - V ≈ 602.88 cubic inches

5. **Round to the nearest whole number:**
   - V ≈ 603 cubic inches

#### Answer:
- O 603

There are no graphs or diagrams accompanying this question.
Transcribed Image Text:### U7L1-L5 SWYK - Spatial Reasoning #### Question: A cylindrical can has a diameter of 8 inches and a height of 12 inches. Find the volume of the can, in cubic inches, rounded to the nearest whole number. #### Options: - O 603 - O 3617 - O 768 - O 192 - O 2412 - O 904 #### Step-by-Step Solution: 1. **Given:** - Diameter of cylindrical can: 8 inches - Height of cylindrical can: 12 inches 2. **Find the radius:** - Radius (r) = Diameter / 2 = 8 inches / 2 = 4 inches 3. **Volume of a cylinder:** - Volume (V) = πr²h 4. **Substitute the values:** - V = π * (4 inches)² * 12 inches - V = π * 16 inches² * 12 inches - V ≈ 3.14 * 16 inches² * 12 inches - V ≈ 3.14 * 192 cubic inches - V ≈ 602.88 cubic inches 5. **Round to the nearest whole number:** - V ≈ 603 cubic inches #### Answer: - O 603 There are no graphs or diagrams accompanying this question.
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