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zlopas [31]
3 years ago
7

The diagram shows a right angled triangle.

Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer:

6 root 2

Step-by-step explanation:

Pythagous Therom

A^2 = B^2 + C^2

B^2 = C^2 - A^2

B^2 = 36 - (2 Root 3)^2

B^2 = 24

B = 2 root 6

Base x Height / 2 for area of Triangle

2 root 3 x root 24 = 12 root 2

12 root 2 / 2 = 6 root 2

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Step-by-step explanation: Hope this helps!

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3 years ago
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

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\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
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Answer:

77%

Step-by-step explanation:

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Read 2 more answers
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