(a)

Circumference of  a sphere is  cm.

Possible error is cm.

Let be the radius of the sphere.

Circumference of  a sphere is .

Consider .

Error in measuring of the circumference of  a sphere is cm.

Apply derivative on each side.

Substitute in above expression.

Surface area of the circle is  .

Apply derivative on each side.

.

Substitute and in above expression.

Maximum possible error in the surface area of the sphere is .

Relative error in the surface area of the sphere is .

Relative error in the surface area of the sphere is .

(b)

Volume of the sphere is  .

Apply derivative on each side.

Substitute and in above expression.

Maximum possible error in the volume of the sphere is .

Relative error in the  volume of the sphere is .

Relative error in the volume of the sphere is .

(a)

Maximum possible error in the surface area of the sphere is .

Relative error in the surface area of the sphere is .

(b)

Maximum possible error in the volume of the sphere is .

Relative error in the volume of the sphere is .