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Svetlanka [38]
3 years ago
15

What is the approximate volume of the tube? Round to the

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0

Answer:

The approximate volume of the tube  is 1,005 cm³

Step-by-step explanation:

To find the volume of the tube, we will follow the steps below:

First, write the formula for calculating the volume of a cylinder

volume of a cylinder = πr²h

where r is the radius and h is the height of the cylindrical cardboard tube

from the question given, height is equal to 20 centimeters    and             diameter = 8 centimeters  but diameter = 2r, this implies that r = d/2   hence radius r =8/2 = 4 centimeters

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

volume of a cylinder = πr²h

                                 ≈ 3.14 × 4²× 20

                                   =3.14 × 16× 20

                                    ≈1,005 cm³ to the nearest whole cubic centimeter.

The approximate volume of the tube  is 1,005 cm³

           

                                 

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mestny [16]

The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

  • perimeter = 2(l + w)

where

l = length

w = width

perimeter = 218 meters

The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

  • l = 17 + w

The length and the width can be calculated as follows:

218 = 2(l + w)

218 = 2(17 + w + w)

218 = 34 + 4w

218 - 34 = 4w

184 = 4w

divide both sides by 4

w = 184 / 4

w = 46 meters

length = 17 + 46

length = 63 meters

learn more on rectangle here: brainly.com/question/15989799?referrer=searchResul

8 0
2 years ago
How many unit cubes would you need to make a model of a rectangular prism that is 6 units long, 2 units wide, and 5 units high?
Zina [86]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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Pixel goes shopping with one hundred dollars and ends up buying three different types of items: A, B, and C. The unit price of A
mixas84 [53]

Answer:

  • A - 16, B - 79, C - 5

Step-by-step explanation:

<u>Given</u>

  • A costs 5$
  • B costs  $0.25
  • C costs $0.05
  • A + B + C = 100
  • 5A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000

<u>Subtract the first equation from the second:</u>

  • 99A + 4B = 1900

<u>We have a restriction in numbers:</u>

  • 0 < A, B, C < 100

<u>Since 4B can be max 400, we get 99A > 1500  and 99A < 1900 so:</u>

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and

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A can be 16 or 18 as it should be even number to get B the whole number.

<u>If A = 16:</u>

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<u>If A = 18:</u>

  • 99*18 + 4B = 1900
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  • 4B = 118
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<u>So we get:</u>

  • A = 16, B = 79 and C = 100 - (16 + 79) = 5

<u>Let's proof the numbers:</u>

  • 16*5 + 79*0.25 + 5*0.05 = 100, confirmed

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Answer:

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Step-by-step explanation:

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3 years ago
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I need help with this
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Answer:

BC = 15.01

Step-by-step explanation:

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BC = tan 65 × 7

BC = 2.145 × 7

BC = 15.01

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