SSC CPO 2024 PYQ — Question 110

The correct answer is Option 2  i.e. 64.

Let the number of glasses be n

We will first find out the radius,

Circumference = 88

Now,

Circumference of the circle = 2πr

⇒ 88 = 2 × 22/7 × r

⇒ r = (88 × 7)/44

⇒ r = 14 cm

Now, the volume of the hemispherical ball

Volume = 2/3 × π × r³

⇒ 2/3 × 22/7 × 14 × 14 × 14

⇒ (2 × 22 × 2744)/(3 × 7)

⇒ 120736/21 ≈ 5749.33 cm³

Now,

Given the diameter of each glass is 7 cm, the radius r of each glass is:

⇒ r = 7/2 = 3.5

Now, the volume of each hemispherical glass

Volume = 2/3πr³

⇒ 2/3 × 22/7 × 3.5 × 3.5 × 3.5

⇒ 1886.5/21 ≈ 89.33 cm³

Now, the number of glasses = volume of the hemispherical ball/volume of each hemispherical glass

⇒ n = 5749.33/89.33

⇒ n = 64.30 ≈ 64

Thus, approximately 64 people may be served from the bowl.