How many litres of milk can a hemispherical b | vedclass

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Question

(B) Diameter of the hemisphere $= 10.5\, cm$.Radius of the hemisphere $(r) = \frac{10.5}{2}\, cm = 5.25\, cm$.Volume of the hemispherical bowl $= \fra

Vedclass · Accepted Answer

$0.303$

Vedclass · Answer

(B) Diameter of the hemisphere $= 10.5\, cm$.Radius of the hemisphere $(r) = \frac{10.5}{2}\, cm = 5.25\, cm$.Volume of the hemispherical bowl $= \frac{2}{3} \pi r^3$.Volume $= \frac{2}{3} 	imes \frac{22}{7} 	imes (5.25)^3\, cm^3$.Volume $= \frac{2}{3} 	imes \frac{22}{7} 	imes 5.25 	imes 5.25 	imes 5.25\, cm^3 = 303.1875\, cm^3$.Since $1000\, cm^3 = 1\, l$,the capacity in litres is $\frac{303.1875}{1000}\, l = 0.3031875\, l$.Rounding to three decimal places,the capacity is approximately $0.303\, l$.

How many litres of milk can a hemispherical bowl of diameter $10.5\, cm$ hold (in $, l$)?

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