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 2 years ago
Find the length of the diameter of a sphere with a surface area of 490.87 km2.
A. 12.5 km
B. 25 km
C. 6.25 km
D. 3.125 km
 2 years ago
Find the length of the diameter of a sphere with a surface area of 490.87 km2. A. 12.5 km B. 25 km C. 6.25 km D. 3.125 km

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TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.2\[A=4\pi r^2\]\[d=2r\]

meverett04
 2 years ago
Best ResponseYou've already chosen the best response.3Using @Turing's formulas we have A = 4(pi)d^2 Then substituting in the known values we have 490.87/pi = d^2 Taking the square root d = 12.50 The answer is A

zbay
 2 years ago
Best ResponseYou've already chosen the best response.0Did it again and i still have D

fewscrewsmissing
 2 years ago
Best ResponseYou've already chosen the best response.0Turing's formula's are right, and meverett's working correct. Here's another approach: \[\Large \begin{array}{l} A = 4\pi {r^2}\\ d = 2r\\ r = \frac{d}{2}\\ A = 4\pi {\left( {\frac{d}{2}} \right)^2}\\ {\left( {\frac{d}{2}} \right)^2} = \frac{A}{{4\pi }}\\ \frac{d}{2} = \sqrt {\frac{A}{{4\pi }}} \\ d = 2\sqrt {\frac{A}{{4\pi }}} \\ d = 2\sqrt {\frac{{{\rm{49}}0.{\rm{87}}}}{{4\pi }}} \\ = 12.499951\\ = 12.5 \end{array}\] Which is A.
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