Question

how many litre of milk can a hemispherical bowl of diameter 10.5 centimetre hold

Answer 1

GivEn :-

The diameter of hemispherical bowl is 10.5 cm

To Find :-

Find the volume of milk in the hemisphere = ?

SoLution :-

We have given that the diameter of hemispherical bowl is 10.5 cm

$\implies{\rm }$$\large\rm{Radius}$ = $\large{\rm {\frac{Diameter}{2}}}$

$\implies{\rm }$$\large\rm{Radius}$ = $\large{\rm {\frac{10.5}{2}}}$

∴ $\large\rm{Radius = 5.25\: cm}$

We know that, the formula to find the Volume of hemisphere is :- $\large\bold{\rm {\frac{2}{3}}}$$\times$πr³

Now, put the given values in the formula

$\implies{\rm }$$\rm{Volume}$ = $\large\bold{\rm {\frac{2}{3}}}$$\times$ $\large\bold{\rm {\frac{22}{7}}}$$\times$ (5.25)³

$\implies{\rm }$$\rm{Volume}$ = 2$\times$ 22 $\times$ 1.75 $\times$ 0.75 $\times$ 5.25

$\large\implies{\rm }$$\large\rm{Volume}$ = 303.1875 cm³

Thus, the volume of milk in hemispherical bowl is 303.1875 cm³

Answer 2

✬ 30,318 litres ✬

Step-by-step explanation:

Given:

• Diameter of hemispherical bowl is 10.5 cm.

To Find:

• How many litres of milk it can hold?

Solution: Here we have to find the volume of hemispherical bowl. First we have to find the radius of bowl

★ Radius = Diameter/2 ★

→ Radius = 10.5/2 = 5.25 cm

Formula:

• Vol of Hemisphere = 2/3πr³

• Put all the values on formula •

$\implies{\rm }$ 2/3 x 22/7 x (5.25)³ cm³

$\implies{\rm }$ 44/21 x 144.70 cm³

$\implies{\rm }$ 6366.8/21 cm³

$\implies{\rm }$ 303.18 cm³

• The volume is in cm³ so we have to convert it into litres •

• 1 cm³ = 1000 litres so
• 303.18 cm³ = 303.18(100) = 30,318

Hence, The hemispherical bowl can hold 30,318 litres of milk.