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To solve the problem of calculating the surface area of the remaining solid after removing a hemisphere from a cylinder, follow these steps:

Step 1: Identify Given Values

• Radius of cylinder ((r)) = 10 cm
• Height of cylinder ((h)) = 20 cm
• Radius of hemisphere ((r)) = 10 cm (same as cylinder)

Step 2: Key Surface Area Components

When a hemisphere is removed from one end of the cylinder, the remaining solid’s surface area includes:

1. Curved Surface Area (CSA) of the cylinder: (2\pi rh)
2. Area of one circular base: (\pi r^2) (the end not touched by the hemisphere)
3. CSA of the hemisphere: (2\pi r^2) (the inner surface left by the removed hemisphere)

Step 3: Calculate Each Component

• CSA of cylinder: (2\pi rh = 2\pi(10)(20) = 400\pi)
• Area of one base: (\pi r^2 = \pi(10)^2 = 100\pi)
• CSA of hemisphere: (2\pi r^2 = 2\pi(10)^2 = 200\pi)

Step 4: Total Surface Area

Add the components:
[400\pi + 100\pi + 200\pi = 700\pi]

Substitute (\pi = \frac{22}{7}):
[700 \times \frac{22}{7} = 2200]

Answer: (\boxed{2200}) cm2.

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