Question

If the surface area is 100 square inches, then what is the rardius r? In other words, evaluate r(100). Round your answer to 2 decimal places.

Answer 1

To find the radius given the surface area, we can use the formula for the surface area of a sphere:

Surface Area = 4πr^2

Given that the surface area is 100 square inches, we can set up the equation:

100 = 4πr^2

To solve for the radius, we can isolate the r^2 term:

r^2 = 100 / (4π)

r^2 ≈ 7.96

Taking the square root of both sides, we find:

r ≈ √(7.96)

r ≈ 2.82 (rounded to 2 decimal places)

Therefore, the radius (r) for a surface area of 100 square inches is approximately 2.82 inches.