sting Bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake. It has a radius of 15 centimeters and a height of 12 centimeters. \( 810 \mathrm{~cm}^{2} \)

To find the surface area of the cylindrical red velvet cake, we can use the formula for the surface area of a cylinder, which is given by: \[ \text{Surface Area} = 2\pi r(h + r) \] where: - \( r \) is the radius of the cylinder, - \( h \) is the height of the cylinder, - \( \pi \) is approximately \( 3.14 \). Given: - Radius \( r = 15 \) cm - Height \( h = 12 \) cm Now, we can substitute the values into the formula: 1. Calculate \( h + r \): \[ h + r = 12 \, \text{cm} + 15 \, \text{cm} = 27 \, \text{cm} \] 2. Now, substitute \( r \) and \( h + r \) into the surface area formula: \[ \text{Surface Area} = 2\pi (15 \, \text{cm})(27 \, \text{cm}) \] 3. Calculate \( 2\pi \): \[ 2\pi \approx 2 \times 3.14 \approx 6.28 \] 4. Now calculate the surface area: \[ \text{Surface Area} \approx 6.28 \times 15 \times 27 \] 5. First, calculate \( 15 \times 27 \): \[ 15 \times 27 = 405 \] 6. Now multiply by \( 6.28 \): \[ \text{Surface Area} \approx 6.28 \times 405 \approx 2543.4 \, \text{cm}^2 \] Thus, the surface area of the cylindrical red velvet cake is approximately \( 2543.4 \, \text{cm}^2 \). If you meant to provide a specific surface area of \( 810 \, \text{cm}^2 \), please clarify, as the calculated surface area does not match that value.