Question 472909
A plate, a dish and a cup are on a table. The plate is square with a side 30 cm long. The dish is 20 cm in diameter, and the cup has a 15 cm diameter. What is the probability of tossing a grape into the cup and not onto the plate or the dish?
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Area of the square: 30^2 = 900 cm^2
Area of the dish: pi*10^2 = 100pi cm^2
Area of the cup: pi*7.5^2 = 56.25pi cm^2
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P(cup) = 56.25pi/{900 + 100pi) = 176.7146/(1214.16) = 0.146..
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Cheers,
Stan H.
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