The paper around a snow cone has a slant height of 6 inches and a diameter of 3 inches. About how many square inches of paper are needed to make a snow-cone cup? Use 3.14 to approximate pi.

Question

A. 28 square inches
B. 35 square inches
C. 57 square inches
D. 85 square inches

Answer 1

First, we need to calculate the circumference of the base of the snow cone cup using the diameter given:

Circumference = π x diameter
Circumference = 3.14 x 3
Circumference = 9.42 inches

Next, we need to calculate the area of the curved surface of the cone using the slant height given:

Curved surface area = π x diameter x slant height
Curved surface area = 3.14 x 3 x 6
Curved surface area = 56.52 square inches

To find the total amount of paper needed, we need to calculate the area of the circular base as well:

Base area = (π x diameter^2) / 4
Base area = (3.14 x 3^2) / 4
Base area = (3.14 x 9) / 4
Base area = 28.26 square inches

Finally, calculate the total area needed by adding the area of the curved surface and the base area:

Total area = Curved surface area + Base area
Total area = 56.52 + 28.26
Total area = 84.78 square inches

Rounded to the nearest whole number, the correct answer is:

D. 85 square inches