Find the capacity in litres of a conical vessel with height 12 cm and slant height of 13cm ?

Question

7982 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-08-10T13:45:26

Capacity of conical vessel $V = 0.314159$ $color(green)(V = 0.314159$ $l i t r e s$ $litres$

$l = 13 c m, h = 12 c m$ $l = 13 cm, h = 12 cm$

Radius of base $r = \sqrt{l^{2} - h^{2}} = \sqrt{13^{2} - 12^{2}} = 5$ $r = sqrt (l^2 - h^2) = sqrt(13^2 - 12^2) = 5$

Volume of cone $V = \frac{1}{3} π r^{2} h$ $V = 1/3 pi r^2 h$

$V = \frac{1}{3} π \cdot 5^{2} \cdot 12 = 100 π c m^{3}$ $V = 1/3 pi * 5^2 * 12 =100pi cm^3$

$1000$ $1000$ cc $= 1 l i t r e$ $= 1 litre$

$:. V = (100pi)/1000$ litres

$V~~0.314159$ litres