The formula to find the surface area of a sphere (like a grapefruit) is:
Surface area = 4πr^2
To use this formula, we first need to find the radius of the grapefruit. We know that the circumference (the distance around the outside) is 14cm. The formula to find the circumference of a sphere is:
Circumference = 2πr
We can rearrange this formula to solve for the radius:
r = Circumference ÷ 2π
r = 14cm ÷ 2π
r ≈ 2.23cm (rounded to two decimal places)
Now we can plug this radius into the formula for the surface area:
Surface area = 4π(2.23cm)^2
Surface area ≈ 62.40cm^2
Surface area ≈ 62cm^2 (rounded to the nearest whole number)
find the surface area of a grape fruit with a circumference of 14cm. round your answer to the nearest number
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