High School

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A bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake, which has a radius of 13 cm and a height of 15 cm. If everything but the bottom of the cake is iced, how many square centimeters of icing would be needed for one cake?

Answer :

To find the amount of icing needed for the sides of a cylinder cake, the lateral surface area is calculated using the formula 2*(π)*r*h, with the radius (r) being 13 cm and the height (h) 15 cm. The icing needed would be approximately 1225.22 cm^2.

To determine the area to be iced on a cylindrical cake, we need to calculate the surface area of the sides of the cylinder, which is referred to as the lateral surface area. The formula to compute the lateral surface area of a cylinder is L = 2 (π) r h, where r is the radius and h is the height of the cylinder.

In this case, the radius r is 13 cm and the height h is 15 cm. Using the formula, we get:

  • L = 2(π)13 cm imes 15 cm
  • L = 2(π)195 cm^2
  • L = 390 (π)cm^2

When we calculate this, we find that approximately 1225.22 cm^2 of icing would be needed to cover the sides of the cake.

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