Solution:

Given surface area of the sphere = 1256 cm²

4r² = 1256

4×3.14×r² = 1256

r² = 1256×/3.14×4

r² = 100

r = 10 cm

Total surface area of the hemisphere = 3r²

= 3×3.14×10²

= 3×3.14×100

= 942 cm²

Hence the total surface area of the hemisphere is 942 cm².

Volume of the hemisphere = (2/3)r³

= (2/3)×3.14×10³

= (2/3)×3.14×1000

= (2/3)×3140

= 6280/3

Hence the volume of the hemisphere is 2093.33