▬▬▬▬▬ 25. Find the surface area of the shape. 12 m 12 m 1 18 m A. 1950.9 m² B. 1357.2 m² C. 2344.9 m² D. 2263.9 m²

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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### Educational Content

**Mathematics - Practice Questions**

#### Question 25
**Find the surface area of the shape.**

The diagram shows a geometric figure which appears to be a combination of a cylinder and a cone. The dimensions are given as follows:
- The height of the cone is 12 meters.
- The height of the cylinder is also 12 meters.
- The diameter of the base of the cylinder (which is also the base of the cone) is 18 meters.

Given these dimensions, the options for the surface area are:
- A. 1950.9 m²
- B. 1357.2 m²
- C. 2344.9 m²
- D. 2263.9 m²

#### Diagram Explanation
- The figure consists of a cone placed on top of a cylinder.
- The total height of both shapes combined is 24 meters (12 m for the cone + 12 m for the cylinder).
- The radius of both the cylinder and the cone is 9 meters (since the diameter is 18 meters).

#### Question 26
**Which space figure can you use to approximate the shape?**

The question provides multiple-choice options related to identifying a 3D shape that approximates the given figure:

- A. Cylinder
- B. Cone
- C. Triangular pyramid
- D. Cube

---

Make sure to verify your calculations and choose the correct answers based on the given options.
Transcribed Image Text:### Educational Content **Mathematics - Practice Questions** #### Question 25 **Find the surface area of the shape.** The diagram shows a geometric figure which appears to be a combination of a cylinder and a cone. The dimensions are given as follows: - The height of the cone is 12 meters. - The height of the cylinder is also 12 meters. - The diameter of the base of the cylinder (which is also the base of the cone) is 18 meters. Given these dimensions, the options for the surface area are: - A. 1950.9 m² - B. 1357.2 m² - C. 2344.9 m² - D. 2263.9 m² #### Diagram Explanation - The figure consists of a cone placed on top of a cylinder. - The total height of both shapes combined is 24 meters (12 m for the cone + 12 m for the cylinder). - The radius of both the cylinder and the cone is 9 meters (since the diameter is 18 meters). #### Question 26 **Which space figure can you use to approximate the shape?** The question provides multiple-choice options related to identifying a 3D shape that approximates the given figure: - A. Cylinder - B. Cone - C. Triangular pyramid - D. Cube --- Make sure to verify your calculations and choose the correct answers based on the given options.
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