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प्रश्न
How many litres of milk can a hemispherical bowl of diameter 10.5 cm hold?
`["Assume "pi=22/7]`
उत्तर
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.
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