The radius of a spherical beach ball is 24 cm. if another spherical beach ball has a raduis 3cm longer, about how much greater is its surface area to the nearest square centimeter ?

1923 cm²

Step-by-step explanation:

The surface area of a sphere is A = 4πr².

The first spherical beach ball has a radius of 24 cm:

A = 4π (24)²

A ≈ 7238 cm²

The second spherical beach ball has a radius 3 cm greater, or 27 cm:

A = 4π (27)²

A ≈ 9161 cm²

So the difference in area is:

9161 - 7238

1923 cm²

1923 cm²

Step-by-step explanation:

Equation for the surface area of a sphere is 4πr².

The surface area of the bigger ball is (27²×4×π) = 2916π

The surface area of the smaller ball is (24²×4×π) = 2304π

The difference is 2916π-2304π = 612π

This is 1923 cm²