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blsea [12.9K]
2 years ago
9

Find the service area of a cylinder with a base diameter of 6ft and height of 4ft

Mathematics
1 answer:
tatiyna2 years ago
5 0

The service area of the cylinder is 42\pi square fts.

<h3>What is cylinder?</h3>

Two parallel bases joined by a curving surface make up the three-dimensional solid known as a cylinder.

Typically, the bases are shaped like circles. The height "h" of the cylinder stands for the perpendicular distance between the bases, while "r" stands for the cylinder's radius.

The uses of cylinder are-

  • A popular piece of scientific equipment used to determine the volume of a liquid is a graduated cylinder, sometimes referred to as a measuring cylinder or mixing cylinder.
  • Its form is slender and cylindrical. The measured amount of liquid is shown by each marked line on the graduated cylinder.

Total surface area of the cylinder formula:

It is the sum of the base surface area and the lateral surface area;

Total area = base area + lateral area , or

Total area = 2 π r² + (2 π r) h , or

Total area = 2 π r (r + h)

Calculation for the total area of the cylinder;

Base diameter is 6 ft

Radius is 6/2 = 3 ft

Height is 4 ft

Total area = 2\pi3(3 + 4)

                 = 6\pi×7

                 = 42\pi

Therefore, the total surface area of the cylinder is 42\pi square fts.

To know more about the surface area of the cylinder, here

brainly.com/question/10332927

#SPJ4

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Answer:

Li Jing

Step-by-step explanation:

Given the sequence:

-5,-25,-125,-625,...

Mohamed's Formula is given as: g(n)=-5\cdot5^{\large{n}}

Using Mohamed's formula:

When\: n=1,g(n)=-5\cdot5^{\large{n}}=-5\cdot5^{1}=-25\\When\: n=2,g(n)=-5\cdot5^{\large{n}}=-5\cdot5^{2}=-125\\

Li Jing's Formula is given as: g(n)=-5\cdot5^{\large{n-1}}

Using Mohamed's formula:

When\: n=1,g(n)=-5\cdot5^{\large{n-1}}=-5\cdot5^{1-1}=-5\\When\: n=2,g(n)=-5\cdot5^{\large{n-1}}=-5\cdot5^{\large{2-1}}=-25\\

We can see that Li Jing's Formula produces the gien sequence.

Li Jing is Right.

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3 years ago
4. A juice bottling company makes a variety pack
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The ratio of orange juice to apple juice to grape juice is 6: 3 : 2

<h3>What is ratio?</h3>

A ratio says how much of one thing there is compared to another thing.

Therefore, we are comparing the numbers of juice produce by a bottling company.

Hence,

number of orange juice = 24

number of apple juice = 12

number of grape juice = 8

Therefore, the ratio of orange juice to apple juice to grape juice is as follows:

ratio = 24 : 12 : 8

divide through by 4

ratio = 6: 3 : 2

learn more on ratio here:brainly.com/question/21624861

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Answer:

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The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to
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Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

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The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:

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Then, the <em>margin of error</em> is of:

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