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antiseptic1488 [7]
3 years ago
12

What is the volume of this cylinder?

Mathematics
2 answers:
arlik [135]3 years ago
7 0

Answer:

12769.19m^{3}

Step-by-step explanation:

The formula for the area of a circle is:

\pi r^{2}

To work this out you would first have to find the area of the circle. To do this you would first divide 37.6 by 2, which gives you 18.8. Then to find the area you would multiply pi by 18.8 squared, which gives you 1110.36m^{2}. Then To find the volume you would multiply 1110.36 by 11.5, which gives you 12769.19m^{3}.

To find the volume of a prism you would find the area of the main face and multiply it by the height.

1) Divide 37.6 by 2.

37.6/2=18.8

2) Multiply \pi by 18.8 squared.

\pi *18.8^{2}=1110.36m^{2}

3) Multiply 1110.34 by 11.5.

1110.36*11.5=12769.19m^{3}

Remember when finding the area, thee answer is always going to be squared.

Remember when finding the volume the answer is always going to be cubed.

dalvyx [7]3 years ago
5 0

Answer:

12762.72 cubic meters

Step-by-step explanation:

The volume of a cylinder is denoted by the formula: V=\pi r^{2} h, where r is the radius and h is the height.

Here, we see that the height h = 11.5 m. We also see that the diameter is 37.6 meters. Since diameter = 2 * radius, we can divide this number by 2 to get the radius: r = 37.6/2 = 18.8 meters.

Now substitute these values into the equation:

V=\pi *(18.8^2)*11.5=3.14*(18.8^2)*11.5=12762.72 cubic meters

Hope this helps!

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The mean yearly rainfall in Sydney, Australia, is about 134 mm and the standard deviation is about 66 mm ("Annual maximums of,"
svetlana [45]

Answer:

At least 202.44 mm in the top 15%.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 134, \sigma = 66

How many yearly mm of rainfall would there be in the top 15%?

At least X mm.

X is the 100-15 = 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

Z = \frac{X - \mu}{\sigma}

1.037 = \frac{X - 134}{66}

X - 134 = 66*1.037

X = 202.44

At least 202.44 mm in the top 15%.

5 0
3 years ago
Brittany was tracking the increasing temperature in the morning. At 8 a.m., it was 68 degrees Fahrenheit. At 10 a.m., it was 74
AysviL [449]
Im gonna go with A..
4 0
3 years ago
Which is a zero of the function f(x)=3x−12?
N76 [4]
<h3>Answer:  x = 4</h3>

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

Explanation:

Replace f(x) with 0 and solve for x.

f(x) = 3x-12

0 = 3x-12

3x-12 = 0

3x = 12

x = 12/3

x = 4 is a zero, aka root, of the function

---------------

Check:

f(x) = 3x-12

f(4) = 3(4)-12

f(4) = 12-12

f(4) = 0

The answer is confirmed.

3 0
2 years ago
In the following proportion, what does y equal?
netineya [11]

Y/4 = 39/30

Cross multiply:

30y = (4 x 39)

30y = 156

Divide both sides by 30:

Y = 156/30

Y = 5.2

The answer is C. 5.2

5 0
3 years ago
Read 2 more answers
G(x) = -8x + 2, find<br><br> a. g(x+4)<br><br> b. g(x) + g(-2)
kondaur [170]

Answer:

g(x+4)= -8(x+4)+2

=-8x-32+2=-8x-30

g(x)+g(-2)=-8x+2+(-8(-2)+2)

=-8x+2+(16+2)

=-8x+20

a.=-8x-30

b.=-8x+20

8 0
3 years ago
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