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?
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
