Question

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

`["Assume "pi=22/7]`

 

Answer 1

Diameter of the hemispherical bowl = 10.5 cm

⇒ Radius of the hemispherical bowl (r) = `10.5/2 cm` = `105/20 cm`

Volume of the hemispherical bowl = `2/3 pir^3`

= `2/3 xx 22/7 xx 105/20 xx 105/20 xx 105/20 cm^3`

= `(11 xx 105 xx 105)/(20 xx 20)  cm^3`

= `121275/400 cm^3`

= 303.1875 cm³

∴ Capacity of the hemispherical bowl = 303.1875 cm³.

= `3031875/(10000 xx 1000) "litres"`      ...[1000 cm³ = 1 litre]

= 0.3031875 litres

= 0.303 liters (approximately)

Therefore, the volume of the hemispherical bowl is 0.303 litres.