Problema Solution
For a holiday party, Kathleen is making a six-layer torte, which consists of six 6-inch diameter cake layers with a cream topping on each layer. She knows that one recipe of cream will cover 45 square inches of cake. How many batches of the topping must she make to complete her torte? ( A = p )(Use p = 3.14 as an approximate value)
Answer provided by our tutors
Each layer has an area of
area = (π/4)d^2
area = π/4*10^2 = 25π ≈ 78.5 (square inches)
The total area of 6 layers will be about
total area = 6*78.5 in^2 = 471 in^2
The number of batches required is
(number of batches) = (total area)/(area/batch) = 471/50 = 9.42
Kathleen will need to whip up 10 batches of cream topping.