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telo118 [61]
3 years ago
13

A cylindrical tank has a diameter of 2.5 feet and a height of 4.8 feet. what is the lateral surface area of the tank to the near

est hundredth square foot?
Mathematics
1 answer:
blsea [12.9K]3 years ago
8 0

Answer:

This is approximately 37.7 ft^{2} to the nearest hundredth

Step-by-step explanation:

First of all, we will need to understand that to find the lateral surface area of the cylinder, we simply need to multiply the circumference of the circular base by the height of the cylinder.

In this case, the circumference of the circular base can be obtained by the formula

2 \pi r

Hence we will have the circumference as 2 \times \pi \times \frac{2.5}{2}=7.85 feet

Tp get the Lateral area, we will simply have to multiply this value (7.85 feet )

by the height (4.8 feet)

7.85 X 4.8 =37.68 feet ^{2}

This is approximately 37.7 ft^{2} to the nearest hundredth

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Which arrangement shows 318 , 3.7, 334 , and 3.89 in order from least to greatest?
Stolb23 [73]

Answer: OPTION D.

Step-by-step explanation:

<h3> The complete exercise is: "Which arrangement shows 3\frac{1}{8}, 3.7, 3\frac{3}{4}, and 3.89 in order from least to greatest?"</h3><h3> </h3>

Convert from mixed numbers to decimal numbers.

The steps to do this, are the following:

1. You must divide the numerator of the fraction by the denominator.

2. Then you must add the quotient obtained to the whole number part.

Applying this procedure, you get that:

3\frac{1}{8}=3+0.125=3.125

3\frac{3}{4}=3+0.75=3.75

Now that you have all the numbers in decimal form, you can order from least to greatest:

3.125,\ 3.7,\ 3.75,\ 3,89

Therefore, you can conclude that the correct arrangement is:

3\frac{1}{8},\ 3.7,\ 3\frac{3}{4},\ 3,89

3 0
3 years ago
Read 2 more answers
12. Find the surface area of each figure to the nearest tenth.
Zolol [24]

Answer:

  12a. 471.2 cm²

  12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

  <u>cylinder</u>

  S = (2)(πr²) +2πrh = 2πr(r +h)

  S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

__

  <u>triangular prism</u>

  S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

  S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

_____

Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

6 0
3 years ago
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tamaranim1 [39]
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6 0
3 years ago
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What is f(-2) of the function given below? *<br> f(x) = 3x2 - 4x + 1
slava [35]

Answer:

f(-2) = 21

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 1

f(-2) is x = -2

Step 2: Substitute and Evaluate

f(-2) = 3(-2)² - 4(-2) + 1

f(-2) = 3(4) + 8 + 1

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5 0
3 years ago
How much more area does a large pizza with a 12in. diameter have than a small pizza with a 8 in. diameter? Round your answer to
USPshnik [31]

Answer:

A is the correct answer.

Step-by-step explanation:

First do 6 times 6 and then do 36 times 3.14 to get 113.04.

Then do 4 times 4 to get 16 times 3.14 for 50.24

Last do 113 minus 50 for 63 squared.

6 0
3 years ago
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