This question was previously asked in

DSSSB TGT Computer Science General Section - 7 Aug 2021 Shift 3

Option 1 : 441

**Given:**

The area of the base of the cone = 1386 cm^{2}

The height of the cone = 54 cm

**Formula used:**

The volume of the cone = (1/3) × π × (The base radius of the cone)^{2} × (The height of the cone)

The volume of the hemisphere = (2/3) × π × (The radius of the hemisphere)^{3}

**Calculation:**

Let the number of hemispheres be N

According to the question,

The volume of the cone = (1/3) × (The area of the base of the cone) × The height of the cone

⇒ (1/3) × (1386) × 54

⇒ 1368 × 18 = 24948

The volume of the cone = 24948

Now,

N × (The volume of the hemisphere) = 24948

⇒ N × (2/3) × (22/7) × 3^{3} = 24948

⇒ N = (24948 × 7 × 3)/(27 × 2 × 22) = 523908/(54 × 22) = 441

**∴ The required result will be 441.**