Question

A baker drew a design for a 2-tier wedding cake with a prism-shaped cake as the first tier and a cylinder-shaped cake as the second tier, as shown above. Based on the design, what is the total volume of the wedding cake? Use 3.14 for pi and round your answer to the nearest tenth.
GPT 3.5
To find the volume of each tier, we need to use the formulas for the volume of a prism and a cylinder.

Prism-shaped tier:
Height = 8 inches
Base area = (6 inches) * (6 inches) = 36 square inches
Volume = Base area * Height = 36 sq in * 8 in = 288 cubic inches

Cylinder-shaped tier:
Height = 6 inches
Base area = pi * (3 inches)^2 = 28.26 square inches
Volume = Base area * Height = 28.26 sq in * 6 in = 169.6 cubic inches

Total volume = 288 cubic inches + 169.6 cubic inches = 457.6 cubic inches

Rounded to the nearest tenth, the total volume of the wedding cake is approximately 457.6 cubic inches.

Related Questions

Xenia is ordering a cake for her friend’s wedding. She knows that there will be 110 guests at the we... Jan is making a 3-tier wedding cake for 300 guests. She will make the cake for $3 per serving with t... A wedding cake has three tiers. Each tier is 10cm high. The layers have radii 22 cm, 17 cm, and 12 c...