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mafiozo [28]
2 years ago
8

Find the total volume. Please show your work.​

Mathematics
1 answer:
elena-s [515]2 years ago
4 0

Answer:

Step-by-step explanation:

You have a half sphere and a cylinder.

Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.

For cylinder:

 radius r = 5 m

 height h = 6 cm = 0.06 m

 volume = πr²h = π(5²)(0.06) = 1.5π m³

For sphere:

 radius r = 5 m

 volume of sphere = (4/3)πr³

 volume of half sphere =  (2/3)πr³ = (2/3)π5³ = (250/3)π m³

Total volume = 1.5π + 250π/3 ≅ 266.5 m³

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DiKsa [7]

Answer:

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5 0
2 years ago
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If &lt; A and &lt; B form a linear pair, and &lt; A = x - 13 degrees, and &lt; B = x + 7 degrees, then find x. Select one: a. 12
Andreas93 [3]

The correct value of "x" will be "93".

According to the question,

  • A linear pair of sum to 180°,

then

→ x-13+x+7=180

→             2x -6=180

By adding "6" both sides of the equation, we get

→       2x-6+6=180-6

→                   2x=186

→                     x = \frac{186}{2}

→                     x = 93

Thus "option d" is the right answer.  

Learn more:

brainly.com/question/19152299

8 0
2 years ago
3. A company with loud machinery needs to cut its sound intensity to 44% of its original level. By how many decibels would the l
sergeinik [125]

Answer:   <em>3.   The correct option is:  A) 3.57 decibels.</em>

<em>6.   The correct option is:  B) ln(\frac{x^2}{c^5})</em>

Step-by-step explanation:

3.    Sound intensity is cut to 44% of its original level. That means, if the original sound intensity was 100, then now sound intensity will be 44.

So,  I_{0}= 100 and I= 44

Using the formula L= 10log(\frac{I}{I_{0}}), we will get.....

L= 10log(\frac{44}{100})\\ \\ L= 10log(0.44)\\ \\ L= 10(-0.3565...)=-3.565...\approx -3.57

<em>(Rounded to the nearest hundredth)</em>

So, the loudness would be reduced by 3.57 decibels.


6.    Given expression is:    2ln(x) - 5ln(c)

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ln(x^2)-ln(c^5)

Now using the formula, log(a)-log(b)= log(\frac{a}{b}), we will get....

ln(x^2)-ln(c^5) = ln(\frac{x^2}{c^5})

Thus, the answer as a single natural logarithm is   ln(\frac{x^2}{c^5})

8 0
3 years ago
WILL MARK BRANLIEST ANSWER IF GOTTEN RIGHT
malfutka [58]

Answer:

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notka56 [123]
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