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29 Feb 2024, 10:14
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
50% (01:42) correct
50%
(02:08)
wrong
based on 6
sessions
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Not Attempted Yet
The centre of a giant spherical meteoroid of radius 4 km fell inside a biodiversity park and destroyed everything within its radius. What is probability that the meteoroid breaks the boundary of the park if the diameter of the park is 24 km.
A. \(\frac{5}{9}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{4}\)
D. \(\frac{5}{8}\)
E. \(\frac{1}{3}\)
A. \(\frac{5}{9}\)
B. \(\frac{4}{9}\)
C. \(\frac{1}{4}\)
D. \(\frac{5}{8}\)
E. \(\frac{1}{3}\)
02 Mar 2024, 11:30
Kudos
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Quote:
Only if the meteroid falls in the red region will the boundry be broken. Please refer to the attached fig.
\(\pi (12)^2 -\pi (8)^2 = 144\pi - 64\pi = 80\pi\) = area of red region.
Total area of park \(= \pi (12)^2 = 144\pi \)
Probability \(= \frac{80 \pi}{144 \pi} = \frac{5 }{9}\)
Ans A
Hope it helped.
*fig not to scale
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