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?

Respuesta :

Remember that the formula for the surface area of a sphere is [tex]SA=4 \pi r ^{2} [/tex] . Substitute the given surface area to solve: [tex]663,267=4 \pi r ^{2} [/tex]. Divide by 4 on both sides: [tex]165,816.75= \pi r ^{2} [/tex]. Divide by pi on both sides: [tex]52781.11= r ^{2} [/tex]. Square root on both sides to find the radius: [tex]229.741= r [/tex]