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gavmur [86]
3 years ago
14

13 cm Diameter 6.4 cm Find the volume to the nearest hundredth using 3.14 instead of PI

Mathematics
1 answer:
AlekseyPX3 years ago
7 0

Answer:

418.00 cm³

Step-by-step explanation:

The volume of a cylinder is given by πr²h (r being the radius and h being the height)

The radius is half of the diameter: 6.4/2 is 3.2.

The height shown here is 13.

Instead of pi, the question says to use 3.14 instead of pi.

Putting these all together, you get 3.14×(3.2)²×13.

This can be expanded to 3.14×10.24×13.

From there, multiplying it all together gives you 417.9968 cm³.

The problem says to the nearest hundredth, so you want to round it to 2 decimal places. Since the 6 is above 5, it gets rounded up, leaving you with 418.00 cm³.

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Answer:

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Step-by-step explanation:

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8 0
2 years ago
Given a mean of 52.3 and a standard deviation of 1.8, what is the z-score of the value 51.8 rounded to the nearest tenth?
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The z-score of a certain data point in the given statistical data is calculated through the equation,
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IceJOKER [234]

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<u>Step-by-step explanation:</u>

Here we have , cosxtanx - 2 cos^2 x=-1. Let's solve :

⇒  cosxtanx - 2 cos^2 x=-1

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⇒  sinx = 2 cos^2 x-1

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Since , sin(\pi -x)=sinx

⇒ x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}

Now , General Solution is given by :

⇒ x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6}

Therefore , Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

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