Question

Calculate the amount of liquid (in litres) that can be filled into a hemispherical pot having radius 21 cm. (Take ∏ = 22/7 )

• A. 19.404
• B. 21.404
• C. 20.500
• D. 22.500

Answer 1

Answer:

A. 19.404

Volume of a hemisphere is:

$V = \frac{2}{3} \pi r^3$

Given:

• $(r = 21 \text{ cm})$

• $(\pi = \frac{22}{7})$

  Calculate volume

$V = \frac{2}{3} \times \frac{22}{7} \times 21^3$
$21^3 = 9261$
$V = \frac{2}{3} \times \frac{22}{7} \times 9261$
$= \frac{2}{3} \times 22 \times 1323$
$= \frac{2}{3} \times 29106$
$= 19404 \text{ cm}^3$

Convert to litres

$(1 \text{ litre} = 1000 \text{ cm}^3)$

$\frac{19404}{1000} = 19.404$

Final Answer:

19.404 litres