A hemispherical container with radius 6 cm contains 325 m $l$ of milk. Calculate the volume of milk that is needed to fill the container completely. $(π = 3.142)$

147.45 m l

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127.45 m l

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137.45 m l

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Solution

The correct option is A $127.45 m l$
Formula for volume of Hemisphere $V = \frac{2}{3} π r^{3}$

$V = \frac{2}{3} \times π \times 6^{3}$
$V = \frac{2}{3} \times \frac{22}{7} \times 216$

$\Rightarrow V = 452.57 c m^{3}$

We know that $1 m l = 1 c c$

Volume $V$ in $m l = 452.57 m l$

Given volume of milk $= 325 m l$

$∴$ Volume that should be added $= 452.57 - 325 m l$
$= 127.57 m l$

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A hemispherical container with radius 6 cm contains 325 ml of milk. Calculate the volume of milk that is needed to fill the container completely. (π=3.142)

The correct option is A 127.45 mlFormula for volume of Hemisphere V=23πr3V=23×π×63V=23×227×216⇒V=452.57cm3We know that 1 ml=1 ccVolume V in ml =452.57mlGiven volume of milk =325 ml∴ Volume that should be added =452.57−325 ml =127.57ml

A hemispherical container with radius 6 cm contains 325 m $l$ of milk. Calculate the volume of milk that is needed to fill the container completely. $(π = 3.142)$