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Ira Lisetskai [31]
3 years ago
6

2. An articulated truck is loaded with cylindrical containers filled with oil. The height of each container is 80cm and the diam

eter of each container is 20cm. Calculate the volume of each container.
Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

The volume of each container is: 25,133 cm^{3}

Given:

height of container (h) = 80 cm

diameter of container (d) = 20 cm

radius = half of diameter = \frac{1}{2} of 20 = 10 cm

Recall:

Volume of a cylinder = \pi r^{2} h

<em>Substitute the values into the formula:</em>

Volume = \pi \times 10^{2} \times 80 = 25132.74123

Therefore, volume of each cylinder is approximately 25,133 cm^{3}

Learn more about volume of cylinder here:

brainly.com/question/971817

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Which of the following geometric objects could have it length measured
anastassius [24]

Answer:

You need to attach the image

Step-by-step explanation:

3 0
3 years ago
Please help i don't even where to start<br><br>solve for x​
aliina [53]

The radius is 10, so the diameter is 20. This means the parts of the diameter (the chord through the center P) to the left and right of the vertical chord have lengths 16 and 4, respectively.

Because the horizontal chord is a diameter, the vertical chord is cut in half, so its parts above and below the diameter both have length <em>x</em>.

Now, by the intersecting chord theorem,

16×4 = <em>x</em> × <em>x</em>

or

<em>x</em> ² = 64

so that

<em>x</em> = 8

6 0
3 years ago
The authors of a paper presented a correlation analysis to investigate the relationship between maximal lactate level x and musc
ArbitrLikvidat [17]

Answer:

a) Sample correlation coefficient, r = 0.7411

bi) test statistic, t = 4.102

bii) P-value = 0.000736

Step-by-step explanation:

a) The formula for the sample correlation coefficient is given by the formula:

r = \frac{S_{xy} }{\sqrt{S_{xx} S_{yy} }} }

S_{xx} = 2,648,130.357\\S_{yy} = 36.7376,\\S_{xy} = 7408.225

r = \frac{7408.225}{\sqrt{2648130.357*36.7376} }

r = 0.7511

b)

i) formula for the test statistic is given by the formula:

t = \frac{r\sqrt{n-1} }{\sqrt{1 - r^{2} } }

sample size, n = 4

t = \frac{0.7511\sqrt{14-1} }{\sqrt{1 - 0.7511^{2} } }

t = 4.102

ii) Degree of freedom, df = n -2

df = 14 -2

df = 12

The P-value is calculate from the degree of freedom and the test statistic using excel

P-value =(=TDIST(t,df,tail))

P-value = (=TDIST(4.1,12,1)

P-value = 0.000736

4 0
3 years ago
PLS HELP! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!
Contact [7]

Exact Surface Area = 378pi

Approximate Surface Area = 1186.92

The approximate surface area uses pi = 3.14

The units are cm^2 or "square cm".

=========================================================

Work Shown:

SA = surface area of cylinder

SA = 2*pi*r^2 + 2*pi*r*h

SA = 2*pi*7^2 + 2*pi*7*20

SA = 2*pi*49 + 2*pi*140

SA = 2*49*pi + 2*140*pi

SA = 98pi + 280pi

SA = 378pi ..... exact surface area

SA = 378*3.14

SA = 1186.92 ..... approximate surface area

----------

Side note: The diameter 14 cuts in half to get the radius r = 7

3 0
3 years ago
Read 2 more answers
BRAINLY POINT CHALLENGE
elena-14-01-66 [18.8K]

Answer:

90ft2

Step-by-step explanation:

rectangle= BH

Triangle= BH/2

add em together and you get you're answer

(B is base and H is height)

3 0
3 years ago
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