Here's a cake recipe that is suitable for a 24cm (9.5-inch) cake tin:

Ingredients:

• 250g (2 cups) all-purpose flour
• 200g (1 cup) granulated sugar
• 120g (1/2 cup) unsalted butter, softened
• 240ml (1 cup) milk
• 2 large eggs
• 2 teaspoons baking powder
• 1 teaspoon vanilla extract
• Pinch of salt

Instructions:

1. Preheat your oven to 180°C (350°F). Grease the 24cm (9.5-inch) cake tin and line the bottom with parchment paper.
2. In a mixing bowl, cream together the softened butter and granulated sugar until light and fluffy.
3. Add the eggs one at a time, beating well after each addition. Stir in the vanilla extract.
4. In a separate bowl, whisk together the flour, baking powder, and salt.
5. Gradually add the dry ingredients to the butter mixture, alternating with the milk. Begin and end with the dry ingredients. Mix until just combined, being careful not to overmix.
6. Pour the cake batter into the prepared cake tin, spreading it evenly.
7. Bake in the preheated oven for approximately 30-35 minutes, or until a toothpick inserted into the center comes out clean.
8. Remove the cake from the oven and let it cool in the tin for about 10 minutes. Then, transfer it to a wire rack to cool completely.
9. Once the cake has cooled, you can frost it with your choice of frosting, such as buttercream, cream cheese frosting, or ganache. Decorate the cake as desired.

Remember, baking times can vary, so keep an eye on the cake as it bakes and adjust the time if needed. Enjoy your delicious homemade cake!