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statuscvo [17]
3 years ago
9

What is the ratio of the volume of Cylinder A to the volume of Cylinder B?

Mathematics
2 answers:
MrMuchimi3 years ago
6 0

Answer:

ANSWER: The ratio of the heights of cylinders A and B is 1:9.

Step-by-step explanation:

The volume of cylinder A is %28pi%29%28%283r%29%5E2%29%28h%29+=+9%28pi%29%28r%5E2%29%28h%29.

So tripling the radius in cylinder A makes the volume 9 times the volume of cylinder B. If the volumes are to be the same, the height of cylinder A must be 1/9 the height of cylinder B.

IRISSAK [1]3 years ago
5 0

Answer:

The correct answer is  18/25

Step-by-step explanation:

I just took the quiz and that is the answer

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The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1), and S(–3, 0). Using the diagonals, prove
REY [17]

To prove a rhombus you need to show that the sides are congruent and the diagonals are perpendicular.

Sides:

d_{RM}=\sqrt{(-4-1)^2+(5-4)^2}

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    =\sqrt{25+1}

    =\sqrt{26}

d_{MB}=\sqrt{(1-2)^2+(4+1)^2}

    =\sqrt{(-1)^2+(15)^2}

    =\sqrt{1+25}

    =\sqrt{26}

d_{BS}=\sqrt{(2+3)^2+(-1-0)^2}

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    =\sqrt{25+1}

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d_{SR}=\sqrt{(-3+4)^2+(0-5)^2}

    =\sqrt{(1)^2+(-5)^2}

    =\sqrt{1+25}

    =\sqrt{26}

\overline{RM} ≅ \overline{MB} ≅ \overline{BS} ≅ \overline{SR}

Diagonals:

Use the slope formula: m=\dfrac{y_2-y_1}{x_2-x_1}

m_{RB}=\dfrac{5+1}{-4-2}

       =\dfrac{6}{-6}

       = -1

m_{MS}=\dfrac{4-0}{1+3}

       =\dfrac{4}{4}

       = 1

Slopes are opposite reciprocals so they are perpendicular.

***************************************************************************

All of the sides are congruent and the diagonals are perpendicular so RMBS is a rhombus.

         



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