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Korvikt [17]
3 years ago
6

Is she correct ?????? HELP !!

Mathematics
1 answer:
garik1379 [7]3 years ago
8 0
Here, volume of two shapes doesn't relate with each other, so if one has double dimensions than the other, then it's volume won't be exactly double than the other, 'cause they formula's are very different. 

 Volume of a Cylinder = πr²h
v = π(4)²(6)
v = 96π

Volume of a cone = 1/3 πr²h
v = 1/3 π (8)²(12)
v = 256π

So, Ratio = 256π/96π = 128/48 = 64/24 = 32/12 = 16/6 = 8/3 [ Not 2 ]

In short, She is Incorrect!

Hope this helps!
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Answer:

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Height = 4ft

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Step-by-step explanation:

Given

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Required

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Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)

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36W = 2304W^{-2}

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36 = 2304W^{-3}

Rewrite as:

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W = 4

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L = 2W

L = 2 * 4

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H = \frac{64}{W^2}

H = \frac{64}{4^2}

H = \frac{64}{16}

H = 4

Hence, the dimension that minimizes the cost is:

Width = 4ft

Height = 4ft

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