Question

The surface area of a solid sphere is 1256 cm². It is cut into two hemispheres. Find the total surface area of a hemisphere.(π = 3.14)

Answer 1

Given:

Surface area of a solid sphere =1256 cm², π = 3.14

The sphere is cut into two hemispheres.

To Find: Total surface area of one hemisphere.

Step 1: Find the radius of the sphere

Surface area of sphere  = 4πr²

4πr² = 1256

4 × 3.14 × r² = 1256

12.56 r² = 1256

`r^2 = 1256/12.56 = 100`

r = 10 cm

Total surface area of a hemisphere = 3πr² 

TSA = 3 × 3.14 × 100

TSA = 942 cm²