Mathematics, 20.09.2020 14:01 elizabethhubbe

HELP ME PLEASE ITS THE LAST QUESTION ON THIS TEST

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Answer from: Quest

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.

Answer from: Quest

$79500

step-by-step explanation:

75000÷100=750750×106=79500

Answer from: Quest

add -60 to 120 which will result in : 2x+3y=180

then subtract 2x: 3y=-2x+180

lastly, divide by 2: y= -2/3x+60

hope this is the answer you're looking for: )

Answer from: Quest

In order to find the price per bar, we divide the price by the amount of bars. for the first one: 15.37/10 = $1.54 per barthe second package: 15.35/12 = $1.28 per bar.the 10-pack costs $1.54 per bar and the 12-pack costs $1.28 per bar. the 12-pack has the better price per bar.now, let's look at the price per ounce. we do this in a similar way. we find the total amount of ounces in the package, and divide the price by the number of ounces.in the first package, we multiply 10*2.1=21. we have 21 ounces in the first package. now we divide 15.37/21. in the first package, we have 0.73 dollars per ounce.now, let's look at the second package. we start by multiplying 1.4*12=16.8. there are 16.8 ounces in the package. now, we divide 15.35/16.8=0.91. so, in the second package, we have 0.91 dollars per ounce.the cost per ounce of the 10-pack is $0.73 and the cost per ounce of the 12-pack is $0.91. the first package has the better price per ounce.the better explanation is the second one, because i prefer the lower price per ounce, i think that the 1st pack is the better buy.

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HELP ME PLEASE ITS THE LAST QUESTION ON THIS TEST
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