I need help solving and understanding on how to solve this problem. ### Surface Area of Composite Figures#### Problem:Find the surface area of the composite figure.#### Measurements:- **Cylinder:** - Radius: $4$ inches (since the diameter is given as $8$ inches) - Height: $9$ inches- **Rectangular Prism:** - Length: $16$ inches - Width: $11$ inches - Height: $11$ inches#### Surface Area Formula for a Cylinder:\[ SA \text{ of a cylinder} = 2\pi r^2 + 2\pi rh \text{ (Use } 3.14 \text{ for } \pi) \]#### Instructions:Include the base of the blue rectangular prism in your answer. Remember to subtract out the bottom of the cylinder and the part of the rectangular prism that it covers.#### Hint:Area of a Circle $ A = \pi r^2 $---The composite figure consists of a cylinder placed on top of a rectangular prism. 1. **Calculate the Surface Area of the Cylinder** (excluding the bottom base that touches the rectangular prism): - Lateral surface area of the cylinder: $ 2\pi rh $ - Top surface area of the cylinder: $ \pi r^2 $ - Bottom surface area (base) of the cylinder is not needed since it is covered by the rectangular prism.2. **Calculate the Surface Area of the Rectangular Prism** (excluding the top area covered by the cylinder's base): - The sum of the areas of all six faces, but subtract the area of the circle (base of the cylinder) from the top face.3. **Combine the Surface Areas**: - Add the lateral surface area of the cylinder and the visible top base. - Add the modified surface area of the rectangular prism.These calculations will give you the total surface area of the composite figure.

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Description: I need help solving and understanding on how to solve this problem. ### Surface Area of Composite Figures#### Problem:Find the surface area of the composite figure.#### Measurements:- **Cylinder:** - Radius: $4$ inches (since the diameter is given

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Answered: Find the surface area of the composite…

Math

Geometry

Find the surface area of the composite figure. square inches

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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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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I need help solving and understanding on how to solve this problem.

### Surface Area of Composite Figures

#### Problem:
Find the surface area of the composite figure.

#### Measurements:
- **Cylinder:**
- Radius: $4$ inches (since the diameter is given as $8$ inches)
- Height: $9$ inches
- **Rectangular Prism:**
- Length: $16$ inches
- Width: $11$ inches
- Height: $11$ inches

#### Surface Area Formula for a Cylinder:
\[ SA \text{ of a cylinder} = 2\pi r^2 + 2\pi rh \text{ (Use } 3.14 \text{ for } \pi) \]

#### Instructions:
Include the base of the blue rectangular prism in your answer. Remember to subtract out the bottom of the cylinder and the part of the rectangular prism that it covers.

#### Hint:
Area of a Circle $ A = \pi r^2 $

---

The composite figure consists of a cylinder placed on top of a rectangular prism.

1. **Calculate the Surface Area of the Cylinder** (excluding the bottom base that touches the rectangular prism):
- Lateral surface area of the cylinder: $ 2\pi rh $
- Top surface area of the cylinder: $ \pi r^2 $
- Bottom surface area (base) of the cylinder is not needed since it is covered by the rectangular prism.

2. **Calculate the Surface Area of the Rectangular Prism** (excluding the top area covered by the cylinder's base):
- The sum of the areas of all six faces, but subtract the area of the circle (base of the cylinder) from the top face.

3. **Combine the Surface Areas**:
- Add the lateral surface area of the cylinder and the visible top base.
- Add the modified surface area of the rectangular prism.

These calculations will give you the total surface area of the composite figure.

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