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The problem in the image asks to calculate the surface area of a composite shape, which seems to be a cylinder with two hemispherical ends. It also specifies to use \(\pi = \frac{22}{7}\).

### Given dimensions:
- Length of the cylinder (without hemispheres) = 35 cm
- Radius of the base (and hemisphere) = 7 cm

### Step-by-Step Solution:

1. **Surface Area of the Cylinder (without the hemispheres)**:
   The surface area of a cylinder (lateral area) is given by:
   \[
   \text{Lateral Area of Cylinder} = 2 \pi r h
   \]
   where:
   - \(r = 7 \, \text{cm}\) (radius),
   - \(h = 35 \, \text{cm}\) (height of the cylindrical part).

   Substituting the values:
   \[
   \text{Lateral Area} = 2 \times \frac{22}{7} \times 7 \times 35 = 2 \times 22 \times 35 = 1540 \, \text{cm}^2
   \]

2. **Surface Area of the Two Hemispheres**:
   The total surface area of two hemispheres is the same as the surface area of a full sphere. The surface area of a sphere is given by:
   \[
   \text{Surface Area of Sphere} = 4 \pi r^2
   \]
   where \(r = 7 \, \text{cm}\).

   Substituting the values:
   \[
   \text{Surface Area of Hemispheres} = 4 \times \frac{22}{7} \times 7^2 = 4 \times \frac{22}{7} \times 49 = 4 \times 154 = 616 \, \text{cm}^2
   \]

3. **Total Surface Area**:
   The total surface area is the sum of the lateral area of the cylinder and the surface area of the two hemispheres:
   \[
   \text{Total Surface Area} = 1540 + 616 = 2156 \, \text{cm}^2
   \]

### Final Answer:
The surface area of the composite shape is **2156 cm²**.

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Would you like further details on this calculation or explanations? Here are some related questions for practice:

1. How do you calculate the volume of a cylinder with hemispherical ends?
2. What is the formula for the volume of a hemisphere?
3. How does changing the radius affect the surface area of a cylinder?
4. What is the difference between lateral and total surface area in a cylinder?
5. Can you apply this formula to other composite shapes, like a cone?

**Tip**: Always double-check the units and dimensions when working with surface area to avoid errors in calculations!

Calculate the surface area of a composite shape consisting of a cylinder with hemispherical ends, using pi = 22/7.

Learn how to calculate the surface area of a composite geometric shape consisting of a cylinder with hemispherical ends. This problem uses key geometric formulas, including lateral area of a cylinder and surface area of a sphere. Suitable for students in Grades 8-10.

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