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lorasvet [3.4K]

3 years ago

12

In a recipe, the ratio of fluid ounces of water to fluid ounces of tomato paste is 3 : 4. You plan to make 35 fluid ounces of sa

uce. How many fluid ounces of tomato paste do you need?

1 answer:

Natali5045456 [20]3 years ago

8 0

Water:tomato paste
3:4
35:?
35x4÷3
140÷3
46.67
3:4 = 35:46.67

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Step-by-step explanation:

Let us revise the rule of surface area and volume of a cylinder

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Forty square inches of material is available to make a cylindrical; can of tuna and water, we need to find the dimensions of the can that will give the most volume

∵ S.A = 40 inches²

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∴ 2π r h + 2π r² = 40

Let us use this rule to find h in terms of r

- Subtract 2π r² from both sides

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- Divide both sides by 2π r

∴ $h=\frac{40-2\pi r^{2}}{2\pi r}$

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To find the most volume differentiate it with respect to r and equate it by 0 to find the value of r

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∴ r = 1.457 inches

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∵ $h=\frac{20}{\pi r}-r$

∴ $h=\frac{20}{\pi (1.457)}-(1.457)$

∴ h = 2.913 inches

The dimensions of the can are 1.457 inches and 2.913 inches that will give the most volume

Learn more:

You can learn more about volume of solids in brainly.com/question/6443737

#LearnwithBrainly

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