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RideAnS [48]
3 years ago
15

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units. What is the hei

ght of the cylinder?
a. 2 unitsB. 4 unitsC. 6 unitsD. 8 units
Mathematics
2 answers:
scoray [572]3 years ago
8 0
h=3r\\\\r=\dfrac{h}{3}\\\\V=\pi r^2\cdot h\\\\24\pi=\pi\left(\dfrac{h}{3}\right)^{2}\cdot h\\\\9\cdot 24=h^3\\\\h=\sqrt[3]{3\cdot3\cdot3\cdot8}\\\\h=6

The appropriate choice is
  C. 6 units
nignag [31]3 years ago
7 0

Answer:

6

Step-by-step explanation:

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Write the polynomial on descending order
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Answer:

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7 0
3 years ago
Read 2 more answers
Mr. Flores charges $ 530 for car repairs to his credit card, which charges no interest if
alex41 [277]

Answer:

$47.50

Step-by-step explanation:

530-150=380

380/8=47.50

5 0
4 years ago
Question 8 of 10Which equation represents the slope-intercept form of the line below?y-intercept = (0, 3)slope 4
IceJOKER [234]

The equation of the line in the slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Given the slope 3, m = 4

Given the y-intercept (0, 3), b = 3

Then, the equation of the line is:

y = 4x + 3

8 0
1 year ago
There are 3/4 as many girls as there are boys.There are 63 students in the fifth grade. How many students are girls?
klemol [59]

Answer:

<u>27</u> students are girls.

Step-by-step explanation:

Given:

There are 3/4 as many girls as there are boys.

In the fifth grade total there are 63 students.

Now, to find the number of students that are girls.

Let the number of students that are boys be x.

So, the number of students that are girls = \frac{3}{4} \ of\ x=\frac{3x}{4} .

Total number of students = 63.

Now, to get the number of students that are girls we solve an equation:

x+\frac{3x}{4} =63\\\\\frac{4x+3x}{4} =63\\\\\frac{7x}{4} =63\\\\Multiplying\ both\ sides\ by\ 4\ we\ get:\\\\7x=252\\\\Dividing\ both\ sides\ by\ 7\ we\ get:\\\\x=36.

Now, substituting the value of x :

\frac{3x}{4} \\\\=\frac{3\times 36}{4} \\\\=\frac{108}{4} \\\\=27.

Therefore, 27 students are girls.

7 0
3 years ago
Given z1 = startroot 2 endroot (cosine (startfraction 3 pi over 4 endfraction) i sine (startfraction 3 pi over 4 endfraction) )
vampirchik [111]

The subtraction of complex numbers z_{1} -z_{2} is cos(π)+i sin(π).

Given z_{1} =\sqrt{2}[cos(3π/4+i sin(3π/4) and z_{2}=cos (π/2) +i sin(π/2)

We have to find the value of z_{1} -z_{2}.

A complex number is a number that includes real number as well as a imaginary unit in which i^{2} =1. It looks like a+ bi.

We have to first solve z_{1} and z_{2} and then we will be able to find the difference.

z_{1} =\sqrt{2}[ cos (3π/4)+i sin (3π/4)]

=\sqrt{2}[cos(π-π/4)+ i sin (π-π/4)]

=\sqrt{2} [-cos(π/4)+sin (π/4)]

=\sqrt{2}(-1/\sqrt{2}+1/\sqrt{2})

=\sqrt{2} *0

=0

z_{2} =cos(π/2)+i sin (π/2)

=0+i*1

=1

Now putting the values of z_{1}  and z_{2},

z_{1} -z_{2} =0-1

=-1

=-1+i*0

=cos (π)+i sin(π)

Hence the value of difference between z_{1} and z_{2} is cos(π)+i sin(π).

Learn more about complex numbers at brainly.com/question/10662770

#SPJ4

3 0
2 years ago
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