Question

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

Answer 1

SOLUTION:-

Given:

Hemispherical bowl of diameter=10.5cm.

To find:

The litres of milk can hold in hemispherical bowl.

Explanation:

Radius of the circle: Diameter/2

Radius of the circle= 10.5/2

Radius of the circle= 5.25cm.

Formula: Volume of the hemispherical bowl= 2/3πr³

$Amount \: of \: milk = \frac{2}{3}\pi {r}^{3} \\ \\ Amount \: of \: milk = \frac{2}{3} \times \frac{22}{7} \times (5.25) {}^{3} \\ \\ Amount \: of \: milk = \frac{44}{21} \times 5.25 \times 5.25 \times 5.25 \\ \\ Amount \: of \: milk = \frac{6366 .9375}{21} {cm}^{ 3} \\ \\ Amount \: o f \:milk = 303.1875 {cm}^{3}$

Amount of milk= 303cm³ [approx.]

We know that, 1cm³= 1/1000litres

$Amount \: of \: milk \: i n \: litres = \frac{303}{1000} l \\ \\ Amount \: of \: milk \: in \: litres = 0.303 \: l$