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worty [1.4K]
2 years ago
10

Find the volume of the figure. Round your answer to the nearest tenth if necessary. Use 3.14 for .

Mathematics
1 answer:
sp2606 [1]2 years ago
8 0

Answer:

\boxed{\rm \: Volume_{(Cylinder)}  \approx \: 307.7 \: m {}^{3}  } ( \rm \: nearest \: tenth  )

Step-by-step explanation:

Given:

  • radius = 7 metres
  • height = 2 metres
  • π = 3.14

To Find:

  • Volume of the cylinder

Solution:

Use the formulae of the volume of cylinder:

\boxed{\rm \: Volume_{(Cylinder)} = \pi{r} {}^{2} h}

where,

  • π = 3.14
  • r = radius
  • h = height

According to the question:

  • radius = 7 metres
  • height = 2 metres

Substitute the values onto the formulae in order to find out the volume:

\rm \: Volume_{(Cylinder)} = \pi(7) {}^{2} (2)

\rm \: Volume_{(Cylinder)} = \pi(49)(2)

\rm \: Volume_{(Cylinder)} = 98\pi

\rm \: Volume_{(Cylinder)} =  \: 98 \times 3.14

\rm \: Volume_{(Cylinder)} = 307.72  \: m {}^{3} \: (exact \: form)

\boxed{\rm \: Volume_{(Cylinder)}  \approx \: 307.7 \: m {}^{3} } \: ( \rm nearest \: tenth  )

<u>Hence,we can conclude that:</u>

The volume of the cylinder is approximately

307.7m³.

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Please solve the question and chose from the provided answer options.
Nezavi [6.7K]

Answer:

Option A is correct.

Step-by-step explanation:

We are given the expression:

w(x) = (x+125)^1/3

We need to find w(50)

Putting x = 50 in the above equation

w(x) = (x+125)^1/3

w(50) = (50+125)^1/3

w(50) = (175)61/3

w(50) = 5.59

w(50) = 5.6

So, Option A is correct

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3 years ago
Which is the equation of a line that has a slope ot 1/2 and passes through the point 2, -3​
mamaluj [8]

Answer:

y=1/2x-4

Step-by-step explanation:

You are given the slope, 1/2. So you can plug it into the equation (y=mx+b)

You also need to plug in the x and y coordinate your given so you'll have

-3=1/2(2)+b. Then you solve for b, which is -4. You now have your answer, y=1/2x-4.

4 0
3 years ago
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The equation of a graph is 4x - 3y = 5. What is the x-intercept?​
Sav [38]

Answer:(5/4,0)

Step-by-step explanation:

6 0
3 years ago
Below are three different hypothesis tests about population proportions. For each test, use StatKey and the information given to
Ilia_Sergeevich [38]

Answer:

1a) p-hat=0.38

1b) P=0.08

1c) The null hypothesis is not rejected

2a) p-hat=0.64

2b) P=0.0027

2c) The null hypothesis is rejected

3a) p-hat=0.55

3b) P=0.153

3c) The null hypothesis is not rejected

Step-by-step explanation:

(1) H0: p = 0.3 vs Ha: p ≠ 0.3. In their survey, they had a count of 38 using a sample size n=100.

1a) The p-hat is p-hat=38/100=0.38.

1b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.3*0.7}{100}}=0.046

The sample size is n=100.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.38-0.3}{0.046}=\frac{0.08}{0.046}= 1.74

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.74 is P=0.08.

1c) The null hypothesis is not rejected.

(2) H0: p = 0.7 vs Ha: p ≠ 0.7. In their survey, they had a count of 320 using a sample size n=500.

2a) The p-hat is p-hat=320/500=0.64.

2b) The standard deviation is

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The sample size is n=500.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.64-0.7}{0.02}=\frac{-0.06}{0.02}=-3

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=3 is P=0.0027.

2c) The null hypothesis is rejected.

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2a) The p-hat is p-hat=110/200=0.55.

2b) The standard deviation is

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The sample size is n=200.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.55-0.6}{0.035}=\frac{-0.05}{0.035}=-1.43

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.43 is P=0.153.

2c) The null hypothesis is not rejected.

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The answer is 13.5, hope this helps!

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