The area to be frosted on the top of the cake can be calculated using the formula for the area of a circle: A = πr^2, where r is the radius of the circle. Since the diameter of the cake is given, the radius is half of the diameter, so r = 1/2 * d.
Given that the diameter of the cake is , the radius is:
r = 1/2 * = / 2 =
Now, we can calculate the area to be frosted on the top of the cake:
A_top = πr^2 = π * (^2) ≈
Next, we need to calculate the area to be frosted on the sides of the cake. The formula for the lateral surface area of a cylinder is A = 2πrh, where r is the radius and h is the height. Using the same radius as above and the given height of the cake, we have:
A_sides = 2πrh = 2π * * ≈
Therefore, the total area to be frosted on the cake is:
Total area = A_top + A_sides = + ≈
Jared will need approximately of frosting to decorate the cake.
Jared baked a cake for his sister's birthday and is trying to figure out how much frosting he will need to decorate it. The cake has a diameter of
and a height of
.
If he only wants to frost the top and the sides of the cake, how much frosting will he need? Use
.
Area to be frosted
1 answer
3 answers