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AlexFokin [52]
4 years ago
7

The product of a number and 9, increased by 4, is 58. Find the number.

Mathematics
1 answer:
diamong [38]4 years ago
4 0
9x + 4 = 58
9x = 54
x = 6

The number is 6.
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Answer:

Height = 12cm

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Step-by-step explanation:

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432\pi = \pi r^2h

Divide through by π

432 = r^2h

Make h the subject:

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Surface Area (A) of a cylinder is calculated as thus:

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Factorize:

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To minimize, we have to differentiate both sides and set A' = 0

A'=2\pi (-\frac{432}{r^2} + 2r)

Set A' = 0

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Divide through by 2\pi

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Cross Multiply

2r * r^2 = 432

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Divide through by 2

r^3 = 216

Take cube roots of both sides

r = \sqrt[3]{216}

r = 6

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h = \frac{432}{6^2}

h = \frac{432}{36}

h = 12

Hence, the dimension that requires the least amount of material is when

Height = 12cm

Radius = 6cm

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