the radius of a bubble increases by 4%. Calculate the percentage increase in its (a) surface area (b) volume (to three significant figures )

Step-by-step explanation:

Given that the radius of a bubble increases by 4%.

Let r be the radius of the spherical bubble, so the new radius of the sphere

(a) Surface area of the bobble,

So, the rate of increase of surface area =

The percentage change in the surface area

By using equation (i)

The percentage change in the surface area =

=8.160%

Therefore, the percentage change in the surface area is 8.160%

(b) The volume of the sphere =

So, the change in the volume =

Percentage change in the volume =

[by using equation (i)]

=12.486%

Therefore, the percentage change in the volume is 12.486%.