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guajiro [1.7K]
3 years ago
5

Calculate the volume of the composite solid. Round your answer to the nearest hundreth

Mathematics
1 answer:
vfiekz [6]3 years ago
7 0

For this case we have that by definition, the volume of a cylinder is given by:

V = \pi * r ^ 2 * h

Where:

V: It's the volume

A: It is the radius of the cylinder

h: It is the height of the cylinder

We have to:

V = \pi * (7.2) ^ 2 * 12\\V = \pi * 51.84 * 12\\V = 1954.32195794513 \ m ^ 3

On the other hand, the volume of the cone is given by:

V = \frac {\pi * r ^ 2 * h} {3}

V: It's the volume

A: It is the cone radius

h: It is the height of the cone

We have:

V = \frac {\pi * (7.2) ^ 2 * 11} {3}\\V = \frac {\pi * 51.84 * 11} {3}\\V = 597.153931594347 \ m ^ 3

Thus, the total volume is given by:

V = 2551.47588954 \ m ^ 3

If we round up we have:

V = 2551.48 \ m ^ 3

Answer:

V = 2551.48 \ m ^ 3

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How do you calculate average time from a data set? These are the times: 2.22s, 2.14s, and 2.10s.
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71 + 0 = 71 is an example of
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Step-by-step explanation:

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3 years ago
Consider a sampling distribution with p equals 0.15p=0.15 and samples of size n each. Using the appropriate​ formulas, find the
Grace [21]

Answer:

a.\  \mu_p=750\ \ , \sigma_p=0.005\\\\b.\  \mu_p=150\ \ , \sigma_p=0.0113\\\\c.\  \mu_p=75\ \ , \sigma_p=0.0160

Step-by-step explanation:

a. Given p=0.15.

-The mean of a sampling proportion  of n=5000 is calculated as:

\mu_p=np\\\\=0.15\times 5000\\\\=750

-The standard deviation is calculated using the formula:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.15(1-0.15)}{5000}}\\\\=0.0050

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050

b. Given that p=0.15 and n=1000

#The mean of a sampling proportion  of n=1000 is calculated as:

\mu_p=np\\\\=1000\times 0.15\\\\\\=150

#-The standard deviation is calculated as follows:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{1000}}\\\\\\=0.0113

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113

c. For p=0.15 and n=500

#The mean is calculated as follows:

\mu_p=np\\\\\\=0.15\times 500\\\\=75

#The standard deviation of the sample proportion is calculated as:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{500}}\\\\\\=0.0160

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160

4 0
3 years ago
Find the value of x. Polygon angle sums
pav-90 [236]

Answer:

x = 50

Step-by-step explanation:

In a polygon, the angles add up to 360°:

x + 10 + 2x + 3x + x = 360

7x + 10 = 360

7x = 350

x = 50

6 0
3 years ago
Read 2 more answers
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