Question

The circumference of the base of the cylindrical vessel is 132 cm and its height is 25 cm.

How many litres of water can it hold? $(1000c{m}^3=1l)$

• A. 69.3
• B. 85.6
• C. 34.65
• D. 22.4

Answer 1

The correct option is C 34.65

Let the radius of the cylindrical vessel be r.
Height (h) of the vessel = 25 cm
Circumference of the vessel= 132 cm
$2\pi r=132cm$

$r=\left(\frac{132\times 7}{2\times 22}\right)cm=21cm$

Volume of cylindrical vessel $=\pi r^{2}h$

$=[\frac{22}{7}\times (21{)}^2\times 25]c{m}^3=34650c{m}^3=\left(\frac{34650}{1000}\right)litres[1litre=1000c{m}^3]=34.65litres$

Therefore, such a vessel can hold 34.65 litres of water.