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Ira Lisetskai [31]
2 years ago
6

2. An articulated truck is loaded with cylindrical containers filled with oil. The height of each container is 80cm and the diam

eter of each container is 20cm. Calculate the volume of each container.
Mathematics
1 answer:
RoseWind [281]2 years ago
8 0

The volume of each container is: 25,133 cm^{3}

Given:

height of container (h) = 80 cm

diameter of container (d) = 20 cm

radius = half of diameter = \frac{1}{2} of 20 = 10 cm

Recall:

Volume of a cylinder = \pi r^{2} h

<em>Substitute the values into the formula:</em>

Volume = \pi \times 10^{2} \times 80 = 25132.74123

Therefore, volume of each cylinder is approximately 25,133 cm^{3}

Learn more about volume of cylinder here:

brainly.com/question/971817

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Butoxors [25]

Answer:

We show 1 to distinguish a vertex, but with laws of supplementary the answer is 2.

Step-by-step explanation:

7 0
2 years ago
Which of these cannot represent the lengths of the sides of a right triangle?
Sholpan [36]
<h3>Answer: Choice D. 8m, 9m, 10m</h3>

==================================

Explanation:

If a = 8 and b = 9 are the two legs of a triangle and c = 10 is the hypotenuse, then

a^2 + b^2 = c^2

8^2 + 9^2 = 10^2

64 + 81 = 100

145 = 100

We get a false equation as 145 and 100 are two different values. So the original equation is false when (a,b,c) = (8,9,10)

By the converse of the pythagorean theorem, we have proven that this particular triangle is not a right triangle

-------------

Contrast this with something like choice A where we have a = 3, b = 4, c = 5 leading to

a^2 + b^2 = c^2

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

we get a true equation so a triangle with sides 3,4,5 is a right triangle. Choices B and C follow a similar path.

4 0
3 years ago
Read 2 more answers
C)
DochEvi [55]

Answer:

4 quarters

10 tenths

Step-by-step explanation:

<h3>Tenths</h3>

\frac{1}{10}

<h3>Quarter</h3>

\frac{1}{4}

<h3>Whole</h3>

1

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

1 = \frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}

∴ There are <u>4</u><u> </u><u>quarters</u> to make a whole

1 = \frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}+\frac{1}{10}

∴ There are <u>10</u><u> </u><u>tenths</u><u> </u>to make a whole

5 0
2 years ago
What is the remainder when the product of the 5 smallest prime numbers is divided by 42?
Mnenie [13.5K]

Answer:

21

Step-by-step explanation:

The 5 smallest prime numbers are 1, 2, 3, 5, and 7.

So when multiplied it equals 105.

Divide by 42 and you get 2 21/42

So you have a remainder of 21

7 0
3 years ago
Karen made 175 quarts of punch for her son and 11.3 quarts for
Alenkinab [10]

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

6 0
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