Question

how many litres of milk can a hemisphere bowl of diameter of 10.5 CM hold

Answer 1

See below for the answer

Answer 2

$\bf{\underline{\underline{Answer:}}}$

$\sf \therefore \:\:0.303\:\:liter$

$\bold{\underline {Given:}}$

• Diameter of hemispherical bowl=10.5cm

$\bold{\underline {To\:Find:}}$

• How many litres of milk bowl can hold= ?

$\bf{\underline{\underline{Step\: by\: step \:explanation:}}}$

Here, diameter of hemispherical bowl = 10.5 cm

$\therefore \:\:\:\:\:\:\: \sf Radius(r) = \dfrac{10.5}{2}=\dfrac{21}{4}cm$

Now, volume of bowl $=\dfrac{2}{3}\pi r^3$

$\sf{\begin{lgathered}⟹\frac{2}{3} (\pi)(r) {}^{3} \\ \\⟹ \frac{2}{3} \times \frac{22}{7} \times \frac{10.5}{2} \times \frac{10.5}{2} \times \frac{10.5}{2} \\\\⟹ \frac{2}{3} \times 22 \times \frac{1.5}{2} \times \frac{10.5}{2} \times \frac{10.5}{2} \\\\⟹ 22 \times \frac{1}{2} \times \frac{10.5}{2} \times \frac{10.5}{2}\\ \\ ⟹11 \times \frac{10.5}{2} \times \frac{10.5}{2}\\ \\⟹ 11 \times \frac{110.25}{4}\\ \\ ⟹\frac{1212.75}{4} = 303.18 {cm}^{3}\end{lgathered}}$

$\implies \dfrac{303.18}{1000}\:litre=\bf{0.303 \:litre} \:\:\:\:[\because 1l=1000\:cm^3]$