Question

Linda has prepared two cakes. One is in a rectangular pan that measures 9 inches by 13 inches, with a depth of 3 inches. The other is in a circular tube pan which is 12 inches in diameter and 5.50 inches deep. The circular pan which has a cylinder in the centre produces a round cake with a 3-inch diameter hole in the centre.

Answer 1

Linda wants to calculate the cost of making and decorating the circular cake. She will put a uniform layer of icing on the outside and inside walls, and the top of the cake. For decoration, a chocolate string will go on the top circumference of her cake, including enough to go around the centre opening. Calculate the total cost to make and decorate Linda's cake. Show your work.

Batter $0.04 per in.³

Chocolate string $0.39 per ft. (sold in one foot lengths)

Icing $ .01 per in.^ 2 (uniform layer)

Answer 2

Please help me, thank you...

Answer 3

I cant figure it out

Answer 4

Please help

Answer 5

circular tube pan which is 12 inches in diameter and 5.50 inches deep with a 3-inch diameter hole

Just use your formulas for area and volume of a cylinder, and circumference of a circle.

The circumference of a circle is πd
The lateral area of a cylinder is πdh
The area of a circle is πr^2
The volume of a cylinder is πr^2 h
So the area on the outside of the round cake is π*12*5.5 = 66π
and the area on the inside is π*3*5.5 = 16.5π
The area of a circle is πr^2, so the area of the top is π(6^2 - 1.5^2) = 33.75π
The volume of the cake is π(R^2-r^2)h = 33.75*5.5π = 185.625π
So the cost of the cake is
batter: 0.04 * 185.625π = $23.33
icing: 0.01 * (66π+16.5π+33.75π) = $3.65
string: 0.39*(12+3)π = $18.38