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

Question

Damari Ferrell

Mathematics

31 July, 19:37

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

+1

Answers (1)

Know the Answer?

Jaydan Levy · Answer 1

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