Question

find the volume of a conical vessel whose radius is 7cm and slant height is 25cm

Answer 1

volume of cone = $\pi  [tex]r^{2}$\\[/tex]

(where pi = 22/7; r = 7cm; l = 25cm)

using pythagoras theorum:

$r^{2}$ + $h^{2} = l^{2}$

$7^{2}$ + $h^{2} = 25^{2}$

625 - 49 = 576 =  $h^{2} </p><p>hence h = 24. </p> <p>now, using volume formula: </p><p>volume of cone = [tex]\pi  [tex]r^{2}$\\[/tex]

volume = 3696 $cm^{3}$

Answer 2

the formulae of volume of cone is 1/3 ×22/7×r×h

=1/3×22/7×7×25
=1/3×22×25
=16.66

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