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VashaNatasha [74]
3 years ago
6

The volume of a cylinder is 9080 in.³ the same height of the cylinder is 20 inches what is the radius of the cylinder express yo

ur answer in the nearest hundredth
Mathematics
2 answers:
insens350 [35]3 years ago
7 0

Answer:

12.02 inches

Step-by-step explanation:

recall, volume of a cylinder is given by

V = πr²h

where r is the radius of the cylinder and h = the height

hence

9080 = π x r² x 20

r² = 9080 ÷ 20π = 144.513

r = √144.513 = 12.02 inches

dem82 [27]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:

h: It is the height of the cylinder

A: It is the radius of the cylinder

According to the data we have:

V = 9080 \ in ^ 3\\h = 20 \ in

Substituting we have:

9080 = \pi * r ^ 2 * 20

Taking \pi = 3.14

9080 = 62.80r ^ 2\\r ^ 2 = 144.59\\r = \pm \sqrt {144.59}

We choose the positive value:

r = \sqrt {144.59}\\r = 12.02

Thus, the radius of the cylinder is r = 12.02 \ in

Answer:

12.02 \ in

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4 math problem
Aneli [31]

Answer:

Step-by-step explanation:

1)y=-6x-14   ---------(i)

-x-3y=-9  ---------- (ii)

Substitution method:

Substitute y  value in equ (i)

-x -3*(-6x-14) = -9

-x - 3*-6x -3*(-14)= -9

-x + 18x + 42 = -9

17x = -9 -42

17x = -51

x = -51/17

x = -3

Substitute x value in equation (i)

y = -6*-3 -14

y =18-14

y = 4

6 0
3 years ago
Read 2 more answers
Any REAL help on #16 above??? Can someone check my answer?
babymother [125]

Answer:

The answer to your question is:th first option is correct.

Step-by-step explanation:

Here we have and hyperbola with center (0, 1), and the hyperbola is horizontal because x² is positive.

Equation

y - k = ±\frac{b}{a} (x - h)

Process

Find a, b

                a² = 9    

               a = 3

                b² = 5

              b = √5

              h = 0    and k = 1

Substitution

              y - 1 = ±\frac{√5}{3} (x - 0)

Equation 1

            y = \frac{\sqrt{5} }{3} x + 1

Equation 2

           y = - \frac{\sqrt{5} }{3} x + 1  

3 0
3 years ago
recent survey found that 71​% of all adults over 50 wear glasses for driving. In a random sample of 30 adults over​ 50, what is
valentina_108 [34]

Answer:

Mean = 21.3

Standard Deviation = 2.48

Step-by-step explanation:

We are given the following in the question:

p = 71​% = 0.71

Sample size, n = 30

We have to find the mean and the standard deviation of those that wear​ glasses.

\text{Mean} = np\\=30(0.71)\\=21.3

Thus, the mean of those who wear glasses is 21.3

\text{Standard deviation} = \sqrt{npq}\\=\sqrt{np(1-p)}\\=\sqrt{30\times 0.71\times (1-0.71)}\\=2.48

Thus, the standard deviation of those who wear glasses is 2.48

5 0
3 years ago
If a rock falls from a height of 40 meters on Earth, the height H (in meters) after x seconds is approximately
Julli [10]
Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0
40 - 4.9 {x}^{2}  = 0
now all we have to do is get x by itself
so..
4.9 {x}^{2}  = 40
then
{x}^{2}  = 40 \div 4.9
{x}^{2}  = 8.1632...
now take the square root of each side
x = 2.857...
2.857 seconds (rounded to the third decimal)

4 0
3 years ago
20km=__mi<br> Helpppp pls
Lesechka [4]

Answer:

20 km = 12.4274 miles.

Step-by-step explanation:

20/1.609 = 12.4274

Divide by 1.609 when converting kilometers to miles.

3 0
3 years ago
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