Acombination washer/dryer costs $1,179. new parts for this washer/dryer cost $211, labor to repair it costs $553, and shipping it to and from a repair center costs $152. a full warranty, which covers all aspects of repairing the washer/dryer, costs 30% of the price of the washer/dryer. a limited warranty, which only covers labor costs, only costs 14% of the price of the washer/dryer. assuming that the washer/dryer needs repairs which include parts, labor, and shipping, which warranty is the better deal, and by how much, rounded to the nearest dollar? a. the limited warranty will end up costing the consumer $189 less. b. the limited warranty will end up costing the consumer $363 less. c. the full warranty will end up costing the consumer $553 less. d. the full warranty will end up costing the consumer $174 less.

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.