spherical shell has an inner RADIUS of 10 cm. The outer radius is 50% more in length than inner radius.

⇒ Outer radius = 10 + (10 × (50/100)) = 15 cm

After shell is cut into two equal halves, each of the halves will be a hemispherical shell.

A hemispherical shell has three SURFACES: Outer curved SURFACE, inner curved surface and planar circular ring SEPARATING the two curved surfaces.

Surface area of outer curved surface = 2 × π × square of outer radius

Surface area of inner curved surface = 2 × π × square of inner radius

Surface area of planar circular ring = π × (square of outer radius – square of inner radius)

∴ Total surface area of each of the halves = (2 × 3.14 × 15 × 15) + (2 × 3.14 × 10 × 10) + (3.14 × (15 × 15 – 10 × 10))