SOLUTION: For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream w

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Question 152148: For a holiday party, Marcus is making a nine-layer torte, which consists of nine 8-inch diameter cake layers with a cream topping on each layer. He knows that one recipe of cream will cover 54 square inches of cake. How many batches of the topping must he make to complete his torte? (Use  = 3.14 as an approximate value)
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
We have 9 layers to cover.
Each layer is round, with a diameter of 8 inches. So each layer has a radius of 4 inches
The area of a circle is given by A+=+pi%2Ar%5E2
A+=+3.14+%2A+4%5E2
A+=+3.14+%2A+16
A+=+50.24+ square inches
We have 9 layers, each with an area of 50.24. So we have 9%2A50.24 square inches to cover.
A+=+9%2A50.24 = 452.16
One batch of cream covers 54 square inches.
BatchesRequired+=+452.16%2F54
BatchesRequired+=+8.37
Assuming Marcus won't or can't make less than a full batch, he'll need 9 batches to cover the entire cake.
If he has a little brother or sister, there will be lots of cream left over. Lot's of opportunity for them to 'lick the spoon'