Find the capacity in liters of a conical vessel with radius 7 cm and slant height 25 cm.
Given, radius of the vessel,r=7 cm
Slant height of the vessel, l=25 cm
∴ height of the vessel, h=√l2−r2
=√252−72 cm
=√625−49 cm
=√576 cm
=24 cm
Volume of conical vessel
=13πr2h
=13×227×7×7×24 cm3
=1232cm3
Now, we know, 1000l=1m3
1m3=106cm3
1cm3=10−6m3
∴1232cm3=1232×10−6m3
∴1232cm3=1000×10−6×1232liters
∴1232cm3=10−3×1232liters
∴1232cm3=1.232 liters.
Hence, the capacity is 1.232 liters