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polet [3.4K]
4 years ago
9

Spaceship Earth, a spherical attraction at Walt Disney World’s Epcot Center, has a diameter of 50 meters. Find the surface area

of the structure. (JUSTIFY)
please show your work.
Mathematics
1 answer:
Black_prince [1.1K]4 years ago
6 0

The surface area of Spaceship Earth is: 7850 m^2

Step-by-step explanation:

Given

Diameter of spherical structure = d = 50 meters

As the attraction is in the form of a sphere, its radius will be used to find the surface area.

Radius = r = \frac{d}{2} = \frac{50}{2} = 25\ m

The formula for surface area of sphere is:

SA = 4\pi  r^2\\= 4 * 3.14 * (25)^2\\= 4*3.14*625\\=7850\ m^2

The surface area of Spaceship Earth is: 7850 m^2

Keywords: surface area, sphere

Learn more about surface area about:

  • brainly.com/question/1859222
  • brainly.com/question/1993757

#LearnwithBrainly

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How is the sum expressed in sigma notation?<br><br> 11 + 17 + 23 + 29 + 35 + 41
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<h3>The sum expressed in sigma notation is:</h3>

11+17+23+29+35+41=\sum\limits_{i=1}^{6}5+6i

<u><em>Solution:</em></u>

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11 + 17 + 23 + 29 + 35 + 41

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Analyse the series

5 + 6(1) = 11

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<em><u>Thus the series goes on like this:</u></em>

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<em><u>This can be expressed in sigma notation as:</u></em>

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<em><u>We can expand the sigma notation and verify the results</u></em>

\sum\limits_{i=1}^{6}5+6i=(5+6(1))+(5+6(2))+(5+6(3))+(5+6(4))+(5+6(5))+(5+6(6))\\\\\\\sum\limits_{i=1}^{6}5+6i=(5+6)+(5+12)+(5+18)+(5+24)+(5+30)+(5+36)\\\\\\\sum\limits_{i=1}^{6}5+6i=11+17+23+29+35+41

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