Hlu un 31/2019 5: 00 pm kendra runs a bakery that sells two kinds of desserts. kendra knows the bakery must make at least 25 and at most 56 dozens of the chocolate decadence. the bakery must also make between 11 and 30 dozens of the mint breezes. the dozens of chocolate decadence take 5 ounces of sugar, while dozens of mint breezes require 4 ounces of sugar. the bakery only has 340 ounces of sugar available. if dozens of chocolate decadence generate $1.13 in revenue, and dozens of mint breezes generate $2.99, how many dozens of the desserts should kendra have the bakery make to get the most revenue? chocolate decadence: mint breezes: best revenue: get : video licen points possible: 10 unlimited attempts. message instructor about this question post this question to forum submit of a . 4 109 am 1120 00 of eng

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.