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The image shows a problem involving a cylinder and a sphere, with some relationships between their dimensions and surface areas provided. Let's break down the key parts visible in the image:

1. The diagram shows a cylinder and a sphere, both with the same radius \( r \). The height of the cylinder is \( h \).
2. You are given the following equations:
   - **Surface area of the cylinder**: \( 2\pi r h + 2\pi r^2 \).
   - **Volume of cylinder to volume of sphere ratio**: \( \frac{\text{Volume of Cylinder}}{\text{Volume of Sphere}} = 2 \).

### Tasks from the problem:
1. **Part (a):**
   - You are asked to give the equation for \( t \) in terms of \( s \), \( r \), and \( v \), but the relevant part of the image for this problem is unclear. If you can clarify this section, I will be able to assist you better.
   
2. **Part (c):**
   - This part appears to involve finding values based on the relationships between the cylinder and the sphere.
   
Would you like me to focus on solving a specific part of the problem, or could you provide a bit more clarification? I can help you with the detailed steps as well.

The problem involves a cylinder and a sphere with the same radius r and asks to find relationships between their dimensions and surface areas.

Explore the geometry problem involving a cylinder and a sphere with the same radius. Learn how to calculate the surface area of a cylinder and find the volume ratio between the cylinder and the sphere. This problem is suitable for high school students in Grades 9-12.

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