What is the volume of this cylinder? Use A N 3.14 and round your answer to the nearest hundredth. 22 mm 18 mm cubic millimeters

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
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**Title: Cylinder Volume Calculation**

**Description:**

The following problem asks for the volume of a cylinder. The problem includes the dimensions of the cylinder and an approximation for π (pi). The solution involves using the formula for the volume of a cylinder and rounding the answer to the nearest hundredth.

**Problem Statement:**

What is the volume of this cylinder?

Use π ≈ 3.14 and round your answer to the nearest hundredth.

**Diagram Explanation:**

The diagram displays a right circular cylinder with the following dimensions:

- Diameter of the base: 22 mm
- Height of the cylinder: 18 mm

**Volume Calculation:**

The volume \( V \) of a cylinder can be calculated using the formula:

\[ V = \pi r^2 h \]

Where:
- \( r \) is the radius of the base of the cylinder
- \( h \) is the height of the cylinder
- π (pi) is approximately 3.14

**Steps:**

1. Calculate the radius ( \( r \) ) of the cylinder. 
   - The radius is half of the diameter.
   - Given diameter = 22 mm
   - So, radius \( r \) = \( \frac{22}{2} \) = 11 mm

2. Apply the formula to find the volume.
   \[ V = 3.14 \times 11^2 \times 18 \]

3. Perform the calculations:
   \[ V = 3.14 \times 121 \times 18 \]
   \[ V = 3.14 \times 2178 \]
   \[ V \approx 6847.32 \text{ cubic millimeters} \]

Therefore, the volume of the cylinder is approximately **6847.32 cubic millimeters**.
Transcribed Image Text:**Title: Cylinder Volume Calculation** **Description:** The following problem asks for the volume of a cylinder. The problem includes the dimensions of the cylinder and an approximation for π (pi). The solution involves using the formula for the volume of a cylinder and rounding the answer to the nearest hundredth. **Problem Statement:** What is the volume of this cylinder? Use π ≈ 3.14 and round your answer to the nearest hundredth. **Diagram Explanation:** The diagram displays a right circular cylinder with the following dimensions: - Diameter of the base: 22 mm - Height of the cylinder: 18 mm **Volume Calculation:** The volume \( V \) of a cylinder can be calculated using the formula: \[ V = \pi r^2 h \] Where: - \( r \) is the radius of the base of the cylinder - \( h \) is the height of the cylinder - π (pi) is approximately 3.14 **Steps:** 1. Calculate the radius ( \( r \) ) of the cylinder. - The radius is half of the diameter. - Given diameter = 22 mm - So, radius \( r \) = \( \frac{22}{2} \) = 11 mm 2. Apply the formula to find the volume. \[ V = 3.14 \times 11^2 \times 18 \] 3. Perform the calculations: \[ V = 3.14 \times 121 \times 18 \] \[ V = 3.14 \times 2178 \] \[ V \approx 6847.32 \text{ cubic millimeters} \] Therefore, the volume of the cylinder is approximately **6847.32 cubic millimeters**.
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