How many litres of milk can a hemispherical bowl of diameter $ 10.5 \mathrm{~cm} $ hold?

AcademicMathematicsNCERTClass 9

Given:

The diameter of a hemispherical bowl is \( 10.5 \mathrm{~cm} \).

To do:

We have to find the volume of water it can hold.

Solution:

Diameter of the hemispherical bowl $= 10.5\ cm$

This implies,

Radius of the hemispherical bowl $r = \frac{10.5}{2}\ cm$

$= 5.25\ cm$

Therefore,

 Volume of the hemispherical bowl $=\frac{2}{3} \pi r^{3}$

$=\frac{2}{3} \times \frac{22}{7} \times 5.25 \times 5.25 \times 5.25$

$=303.1875 \mathrm{~cm}^{3}$

We know that,

$1000 \mathrm{~cm}^{3}=1 \mathrm{~L}$

$1 \mathrm{~cm}^{3}=\frac{1}{1000} \mathrm{~L}$

This implies,

Volume $=303.1875 \mathrm{~cm}^{3}$

$=\frac{303.1875}{1000} \mathrm{~L}$

$=0.303 \mathrm{~L}$

The hemispherical bowl can hold $0.303\ L$ of milk.

raja
Updated on 10-Oct-2022 13:46:39

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