# the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the differentials to estimate the maximum error in the calculated surface area. What is the relative error in the surface area? what is the percentage error in the surface area?

Question

the circumference of a sphere was measured to be 100 mm with a possible error of 0.4 cm. use the differentials to estimate the maximum error in the calculated surface area. What is the relative error in the surface area? what is the percentage error in the surface area?