This question was previously asked in

DSSSB PRT General Section Official Paper - 11 Nov 2019 Shift 3

Option 3 : 1559 cm^{2}

Given:

Height of Cylinder = 16cm

Radius of Cylinder = 12 cm

Height of Cylinder= 4 cm

Radius of Cylinder = 7 cm

Concept used:

Surface area of Remaining Solid = C.S.A of Cylinder + 2(C.S.A of Cylinder)

Where: C.S.A = Curved Surface Area

Formula used:

Curved Surface area of Cylinder = 2πRH

Curved Surface area of other Cylinder = 2πrh

Where:

R = Radius of Cylinder, H = Height of Cylinder

r = Radius of other cylinder, h = height of Cylinder

Calculation:

According to the question,

Curved Surface area of Cylinder = 2 × (22/7) × 12 × 16 = 1206.85 cm^{2}

Curved Surface area of Cylinder = 2 × 22/7 × 4 × 7 = 176

Surface Area of Remaining Solid = 1206.85 + 176 × 2

⇒ 1206.685 + 352 = 1558.85

∴ The surface area of remaining solid is 1559 (approx) cm2.