Question

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

Answer 1

The answer is 4240

Explanation:

Answer 2

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