The largest state in the US is Alaska, covering 663,267 square miles (including water). What is the approximate radius of a sphere with the same surface area as the area of Alaska?

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Mathematics

Demarion Solis

7 June, 22:29

The largest state in the US is Alaska, covering 663,267 square miles (including water). What is the approximate radius of a sphere with the same surface area as the area of Alaska?

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Ellen Valencia · Answer 1

So we wan't to calculate the radius of a sphere that has the area of Alaska that is A=663.267 square miles. First, lets see what is the formula for the area of the sphere: A = 4*pi*r^2. Here we can solve the equation to get the radius: r^2=A / (4*pi) and the last step is: r = sqrt (A / (4*pi)). After we input the numbers we get: r = 224.54 miles.