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Yakvenalex [24]
2 years ago
14

For 50 points + branliest ! Study the model to answer the question

Mathematics
1 answer:
Anika [276]2 years ago
4 0
I’m pretty sure the correct answer is B
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A solid cylinder of iron whose diameter is 18 cm and height 12 cm is melted and turned into a solid sphere. Find the diameter of
finlep [7]

Answer:

Diameter of sphere = 18 cm

Step-by-step explanation:

<h2>Volume of Cylinder and Sphere:</h2><h3> Cylinder:</h3>

     Diameter = 18 cm

                  r = 18÷ 2 = 9 cm

                 h = 12 cm

\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}

                                    = π * 9 * 9 * 12 cm³

<h3>Sphere:</h3>

  \sf \boxed{\text{\bf Volume of sphere = $\dfrac{4}{3} \pi r^3$}}

Solid cylinder is melted and turned into a solid sphere.

Volume of sphere = volume of cylinder

 \sf \dfrac{4}{3}\pi r^3 = \pi *9*9*12

      \sf r^{3}= \dfrac{\pi *9*9*12*3}{4*\pi }\\\\  r^{3}=9 * 9 *3 *3\\\\\\r = \sqrt[3]{9*9*9}\\\\ r = 9 \ cm\\\\diameter = 9*2\\\\\boxed{diameter \ of \  sphere = 18 \ cm}

6 0
2 years ago
Help me, I will appreciate it
AveGali [126]
They are corresponding angles - they are equal
X+95 =4x-10
Add 10 to both sides
X+105 =4x
Subtract x from both sides
105=3x
X=35

35+95= 130
7 0
3 years ago
What is the inverse of f (x)=e^x+6
goldfiish [28.3K]
To find the inverse, switch the variables and solve for f(x).

x = e^f(x) + 6
x - 6 = e^f(x)
f(x) = ln(x-6)

hope this helps :)
8 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line y = -1/2x+5
velikii [3]

Step-by-step explanation:

please mark me as brainlest

3 0
2 years ago
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A circular plate has a crack along the line AB, as shown below: A circular plate is shown. The center of the plate is labeled as
makkiz [27]
Well, since point A represents the center, and B represents a point on the outer line of the circle, segment AB would represent the radius, since the radius represents the length from the center to the outside of a circle

Hope this helps
8 0
3 years ago
Read 2 more answers
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