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24 October, 15:49

A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular prism that is 12 inches long, 9 inches wide, and 2 inches tall. The birthday cake is in the shape of a cylinder with a base radius of 4.5 inches and a height of 4 inches.

If the sheet cake has a total of 3,600 calories, approximately how many calories are in the birthday cake?

a. 1,880

b. 2,960

c. 3,770

d. 4,240

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Answers (1)
  1. 24 October, 16:58
    0
    Volume of the sheet cake:

    V (prism) = 12 * 9 * 2 = 216 in³

    Volume of the birthday cake:

    V (cylinder) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³

    Then we will use the proportion:

    216 : 254.34 = 36000 : x

    216 x = 254.34 * 3600

    216 x = 915,660

    x = 915.660 : 216

    x = 4,239.17 ≈ 4,240

    Answer:

    d. 4,240
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