(a)

Radius of a spherical baloon is  and the possible error is .

The volume of a sphere is .

Since the possible error is , .

Consider .

Differentiate the above equation with respect to .

Substitute  and  in above equation.

(b)

Radius of a spherical baloon is  and the possible error is .

The surface area of a sphere is .

Since the possible error is , .

Consider .

Differentiate the above equation with respect to .

Substitute  and  in above equation.

(c)

Relative error for the volume of the sphere is .

Relative error for the surface area of the sphere is .

(a)

.

(b)

.

(c)

Relative error for the volume of the sphere is .

Relative error for the surface area of the sphere is .