heya!!How many litres of milk can a hemispherical bowl of diameter 10.5 cm. hold...

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September 2021 2 60 Report

heya!!

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

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cathrin12 Given diameter of the hemispherical bowl = 10.5cm

radius of the hemispherical bowl (r) = 10.5/2 = 5.25 cm

volume = (2/3)*Π*(5.25)3

= (2*3.14*5.25*5.25*5.25)/3

(Π = 3.14)

= 2*3.14*5.25*5.25*1.75

= 302.91 cm3

= 303 cm3

Now 1000 cm3 = 1 litre

So 303 cm3 = 303/1000 = 0.303 litres

So total amount of milk = 0.303 litres

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varshini1101 thank you :)

cathrin12 wlcum

MsQueen $\huge{\underline{\pink{\mathcal{Solution:}}}}$
$\text{[math]}$
Radius of Hemisphere = Diameter/2

= $\bold{ \frac{10.5}{2} = 5.25}$

$\bold{volume \: of \: hemisphere = \frac{2}{3}\pi \: r {}^{3} }$

$\bold{ \frac{2}{3} \times \frac{22}{7} \times 5.25 \times 5.25 \times 5.25} \\ \\ \bold{303.1875 \: \: cm {}^{3} } \\ \\ \bold{303.1875 \times \frac{1}{1000} \: litre } \\ \\ \bold{0.3031875 \: \: litre} \\ \\ \bold{ \therefore \: 0.303 \: litre \: (approx.)}$

$\huge{\underline{\pink{\mathcal{Thanks}}}}$

varshini1101 thank you :)

MsQueen Welcome dear :) ! ♥

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