12017 Assignment Previewer 13. Question Det ails SmithNM13 8.2.038. [3858309] Find the area of the shaded region. (Assume that giyen measurements are exact, and round approximate answers to the nearest tenth of a square unit.) cm2 r = 2 cm 4. Question Detalls SmithNM13 8.3.009. (3733670] Find the volume of the solid. (Assume a = 4 ft.) ft3

Elementary Geometry For College Students, 7e
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Help with 13 & 14 13- find the area of the shaded region. )Assume not to give them measurements are exact and around approximate answers to the nearest 10th of a square unit). Look at picture. 14- find the volume of the solid. (Assume assume a = 4 feet) Look at picture. Show work.
### Mathematics Assignment Preview

#### 13. Finding the Area of a Sector

**Question Details:**

Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.)

- The diagram shows a circle with a radius \( r = 2 \, \text{cm} \).
- The circle is divided into equal sectors.

\[ \text{Area of the shaded region:} \quad \Box \, \text{cm}^2 \]

**Diagram Explanation:**
- The circle has a total of eight equal sectors.
- The task is to find the area of one of these sectors.

---

#### 14. Calculating the Volume of a Cube

**Question Details:**

Find the volume of the solid. (Assume \( a = 4 \, \text{ft} \).)

- The diagram shows a cube with side length \( a \).

\[ \text{Volume of the solid:} \quad \Box \, \text{ft}^3 \]

**Diagram Explanation:**
- The cube has three visible sides, each denoted by \( a \).
- Each side of the cube measures 4 feet in length.

---

These problems require applying the formulas for the area of a sector of a circle and the volume of a cube. Ensure to use correct rounding methods as specified.
Transcribed Image Text:### Mathematics Assignment Preview #### 13. Finding the Area of a Sector **Question Details:** Find the area of the shaded region. (Assume that given measurements are exact, and round approximate answers to the nearest tenth of a square unit.) - The diagram shows a circle with a radius \( r = 2 \, \text{cm} \). - The circle is divided into equal sectors. \[ \text{Area of the shaded region:} \quad \Box \, \text{cm}^2 \] **Diagram Explanation:** - The circle has a total of eight equal sectors. - The task is to find the area of one of these sectors. --- #### 14. Calculating the Volume of a Cube **Question Details:** Find the volume of the solid. (Assume \( a = 4 \, \text{ft} \).) - The diagram shows a cube with side length \( a \). \[ \text{Volume of the solid:} \quad \Box \, \text{ft}^3 \] **Diagram Explanation:** - The cube has three visible sides, each denoted by \( a \). - Each side of the cube measures 4 feet in length. --- These problems require applying the formulas for the area of a sector of a circle and the volume of a cube. Ensure to use correct rounding methods as specified.
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