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Ivahew [28]
4 years ago
12

What is the volume of a cone that has a circumference of 309 feet and a height of 18 feet

Mathematics
2 answers:
Bas_tet [7]4 years ago
4 0

Answer:

v = 1.8 x 10^6

Step-by-step explanation:

v= π r 2h /3

kolezko [41]4 years ago
4 0

Answer:

V = 45,235 ft³

Step-by-step explanation:

The general formula for the volume of a cone:

V = \frac{1}{3}πr³, where r = radius

Given the circumference of 309 feet, you can solve to find the radius of the cone:

C = 2πr or 309 = 2πr

Divide by 2π: 309/2π = 2πr/2π

Solve: r ≈ 49

V = \frac{\pi r^{2}h}{3}=\frac{\pi 49^{2}}{3}=45,235

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3 years ago
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oksian1 [2.3K]

Answer:

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An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709 randomly selected ad
VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that n = 323, p = 0.86

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 + 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8978

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

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3 years ago
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lana66690 [7]
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8 0
4 years ago
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Alik [6]

Answer:

area = 200.96  \: {units}^{2}  \\ circumfrence = 50.24 \: units

Step-by-step explanation:

The formula to find the area and circumference of a circle is:

area = \pi {r}^{2}  \\ circumfrence = 2\pi \: r

<em>*</em><em>no</em><em>te that pi is 3.14*</em><em> </em>Therefore the area is:

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Therefore the circumference is:

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2 years ago
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