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Find the capacity in litres of a conical vessel with (i) radius 7 cm, slant height 25 cm

Q : 2     Find the capacity in litres of a conical vessel with

            (i) radius 7 cm, slant height 25 cm

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Given,

Radius = r =7\ cm

Slant height = l = \sqrt{r^2 + h^2} = 25\ cm

Height = h =\sqrt{l^2-r^2} = \sqrt{25^2-7^2}

= \sqrt{(25-7)(25+7)} = \sqrt{(18)(32)}

= 24\ cm

We know,
Volume of a right circular cone = \frac{1}{3}\pi r^2 h

\therefore Volume of the vessel= \frac{1}{3}\times\frac{22}{7}\times7^2\times24

\\ = 22\times7\times8\\ = 154\times8 \\ = 1232\ cm^3

\therefore Required capacity of the vessel = 

= \frac{1232}{1000} = 1.232\ litres

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