Question

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

Answer 1

Hello!

• Radius, r = $\dfrac{10.5}{2} = \bf{5.25\:cm}$

Then,

$\underline{\bf{Amount\:of\:Milk}}$ :

$\sf \dfrac{2}{3}πr^{3} \\ \\ \implies \dfrac{2}{3} \times \dfrac{22}{7} \times (5.25)^{3} \\ \\ \implies \sf 303\:cm^{3} \implies \boxed{\red{\bf{0.303\:L}}}$

Cheers!

Answer 2

$\bf \LARGE \it Hey \: User!!!$

given :-

diameter of the hemispherical bowl = 10.5cm

therefore it's radius = 10.5/2cm

we know the formula for finding the volume of sphere. that is 4/3πr³ and hemisphere is the half portion of a sphere. therefore the formula for finding the volume of a hemisphere is = 2/3πr³

hence, volume of the hemispherical bowl = 2/3πr³
= 2/3 × 22/7 × 10.5/2 × 10.5/2 × 10.5/2
= 1/3 × 11/7 × 10.5 × 10.5 × 10.5/2
= 12733.875/42
= 303.18cm³ (approximately)

we know that 1000cm³ = 1 litre

therefore 303.18cm³ = 303.18/1000
= 0.30318 litre

$\bf \LARGE \it Cheers!!!$