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{{Languages|Gymnasium_Stein/Mathe/Klasse_10/Kugel/Aufgabe_2|de}}
 
{{Languages|Gymnasium_Stein/Mathe/Klasse_10/Kugel/Aufgabe_2|de}}
{{Kurzinfo-2|KursGymStein|FormelApplet}}
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{{Kurzinfo|KursGymStein|FormelApplet}}
  
 
====Surface of the sphere====
 
====Surface of the sphere====
 
{{Aufgabe|
 
{{Aufgabe|
The biggest prize at the tombola of the annual summer festivl of a bowling club is a gold plated bowling ball.
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The biggest prize at the tombola of the annual summer festival of a bowling club is a gold plated bowling ball.
 
<br>Its diameter is 21cm, the three holes have a diameter of 2cm.
 
<br>Its diameter is 21cm, the three holes have a diameter of 2cm.
<br>How big is the gold-covered surface of the ball?
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<br>What is the size of the gold-covered surface?
 
<br>The holes have not been covered with gold; to simplify, a circular shape of the holes is assumed and the gold layer's thickness may be disregarded.
 
<br>The holes have not been covered with gold; to simplify, a circular shape of the holes is assumed and the gold layer's thickness may be disregarded.
 
<br>Round to three significant digits.}}
 
<br>Round to three significant digits.}}
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<br>
 
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{{Formel-Applet-Hinweis}}
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{{LHA|Aufgabe 1|Aufgabe 3|lösung= O = {{RotVersteckt|1380 cm²}}}}
 
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[[Gymnasium_Stein/Mathe/Klasse_10/Kugel/Aufgabe 6|Nächste Aufgabe]]
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[[Kategorie:Mathematik 10]]
 
[[Kategorie:Mathematik 10]]

Aktuelle Version vom 25. November 2014, 15:31 Uhr

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Surface of the sphere

Stift.gif   Task

The biggest prize at the tombola of the annual summer festival of a bowling club is a gold plated bowling ball.
Its diameter is 21cm, the three holes have a diameter of 2cm.
What is the size of the gold-covered surface?
The holes have not been covered with gold; to simplify, a circular shape of the holes is assumed and the gold layer's thickness may be disregarded.
Round to three significant digits.

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Information icon.svg Solution

O =   1380 cm²    (Select the red area to see the solution)