How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?

Solution:

The quantity of milk that the hemispherical bowl can hold is nothing but the volume of the hemispherical bowl.

The volume of a hemisphere of base radius, r = 2/3π r³

Diameter of the hemispherical ball, d = 10.5 cm

Radius of the hemispherical ball, r = 10.5/2 cm = 5.25 cm

Volume of the hemispherical ball = 2/3π r³

= 2/3 × 22/7 × 5.25 cm × 5.25 cm × 5.25 cm

= 303.1875 cm³

= 303.1875 /1000 ( 1000cm³ = 1L)

= 0.3031875 litres 

= 0.303 litres (approx.)

The hemispherical bowl can hold 0.303 litres of milk.

☛ Check: NCERT Solutions for Class 9 Maths Chapter 13

Video Solution:

How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?

NCERT Solutions for Class 9 Maths Chapter 13 Exercise 13.8 Question 5

Summary:

The hemispherical bowl of diameter 10.5 cm hold can hold 0.303 litres of milk.

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