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?

Question

Gary Blake

Mathematics

19 December, 17:13

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?

+4

Answers (1)

Know the Answer?

Nyasia Graham · 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.