The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius.
For the first scenario, when the radius is 4 cm:
A1 = 4π(4 cm)^2
A1 ≈ 201.06 cm^2
For the second scenario, when the radius is 4.025 cm:
A2 = 4π(4.025 cm)^2
A2 ≈ 204.05 cm^2
The approximate increase in surface area is:
ΔA ≈ A2 - A1
ΔA ≈ 204.05 cm^2 - 201.06 cm^2
ΔA ≈ 2.99 cm^2
Therefore, the approximate increase in surface area of the spherical balloon is 2.99 cm^2.
Find the approximate increase in the surface area of a spherical balloon if it's radius increases from 4cm to 4.025cm
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