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soldi70 [24.7K]
3 years ago
12

Volume cylinder pi 3.14 d=12 cm h = 6cm d=2r

Mathematics
1 answer:
alexira [117]3 years ago
8 0

Answer:

678.24cm³

Step-by-step explanation:

Volume of cylinder = # r² h

Where # = 3.14

r = radius = d/2 = 12/2 = 6cm

h = 6cm

Therefore

Volume = #r²h

= 3.14 × 6² × 6

= 3.14 × 36 × 6

= 678.24cm³

I hope this was helpful, please rate as brainliest  

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algol [13]

Answer: \displaystyle\\\frac{2\pi }{3},\ \frac{5\pi }{3}  .

Step-by-step explanation:

\displaystyle\\tan\theta=-\sqrt{3}\ \ \ \  0\leq \theta\leq 2\pi \\\theta =\frac{2\pi }{3}+\pi N\ \ \ (N=0,\ 1,\ 2,\ 3\ ...)\\ N=0\\\theta=\frac{2\pi }{3} +\pi *0\\\theta=\frac{2\pi }{3}\ \ \ \ ( 0\leq \theta\leq 2\pi)\\ N=1\\\theta=\frac{2\pi }{3}+\pi *1 \\\theta=\frac{2\pi }{3} +\pi \\\theta=\frac{2\pi +3\pi }{3} \\\theta=\frac{5\pi }{3} \ \ \ (  0\leq \theta\leq 2\pi)\\

N=2\\\theta=\frac{2\pi }{3}+2\pi \\ \theta=\frac{2\pi +3*2\pi }{3}\\ \theta=\frac{2\pi +6\pi }{3} \\\theta=\frac{8\pi }{3} \\\theta=2\frac{2}{3} \pi \ \ \ \  (\notin0\leq \theta\leq 2\pi).\\

6 0
1 year ago
Which ordered pair is a solution to the equation y=3x-10​
trasher [3.6K]

<em>Answer:</em>

(4,2)

As you plug the coordinates into an equation and it equals

(3x4)-2= 12-2 =10

<em>Have a beautiful day! </em>v(⌒o⌒)v♪

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3 years ago
G(1)=51 g(n)=g(n-1)+2 fina an explicit formula for g(n)
hjlf

Answer:

g(n) = 2n+49

Step-by-step explanation:

Since g(1) = 51, then g(1)+2=g(2) or g(2)=53. So the formula for g(n) is

g(n) = 49+2n

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4 years ago
Need help for this assignment
storchak [24]

the answer is 124

Step-by-step explanation:

when calculating the angles of a triangle, all angles need to add up to 180 total. So take 180 and substract 28 from it twice to find the remainder.

4 0
3 years ago
Read 2 more answers
Will mark brainliest! Questions are in the picture!
alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)

Substituting the respective values,

\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0

On using the <u>Quadratic</u><u> formula</u> , we have;

\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}

On simplifying above , we will get ,

\rm\longrightarrow x = 6.802,-9.802

Since sides can't be negative, therefore,

\rm\longrightarrow\underline{\underline{ x =6.802}}

Therefore ,

  • \rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\
  • \rm\longrightarrow Height = x +3=6.802+3=9.802\ in

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

\rm\longrightarrow h=\sqrt{ b^2+p^2}\\

\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\

\rm\longrightarrow h =\sqrt{416.40+96.07}\\

\rm\longrightarrow h = 22.63\ in

Now we may find perimeter as ,

\rm\longrightarrow P = p + b + h \\

\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.

\\\rm\longrightarrow P = 52.89 \ in.\\

\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}

8 0
3 years ago
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