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Y_Kistochka [10]
3 years ago
8

Can someone help me?

Mathematics
1 answer:
Ne4ueva [31]3 years ago
4 0

Answer:

Step-by-step explanation:

All the interior angles are of measure 60 degrees.

We want to find the height of this triangle.  Call it h.  On the left side of this illustration is a right triangle with height h and base (1/2)(10), or 5.

The ratio of height to base is the tangent of 60 degrees:

                                    h

tan 60 degrees = --------------

                                     5

                                                  h

and tan 60 degrees = 1.73  = ------

                                                   5

Multiplying both sides of this equation by 5 yields h = 8.66.  This is |BD|.  This is the same as Answer B.

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The volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

<h3>What is the volume of the sphere?</h3>

The volume of  the sphere is the amount of space occupied within the sphere.

Volume of sphere is expressed as;

V = (4/3)πr³

Where r is the radius and π is pi ( π = 3.14 )

Given that;

  • Diameter of the sphere d = 18cm
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  • Constant pi π = 3.14
  • Volume V = ?

V = (4/3)πr³

V = (4/3) × 3.14 × 9cm)³

V = (4/3) × 3.14 × 729cm³

V = 3052.1cm³

Therefore, the volume of the sphere with the given value of diameter is to the nearest tenth is 3052.1cm³.

Option C is the correct answer.

Learn more about volume of hemisphere here: brainly.com/question/3362286

#SPJ1

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