#### Question

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

`["Assume "pi=22/7]`

#### Solution

Radius (*r*) of cone = 7 cm

Slant height (*l*) of cone = 25 cm

`"Height (h) of cone "=sqrt(l^2-r^2)`

`=(sqrt(25^2-7^2))cm`

= 24 cm

`"Volume of cone "=1/3pir^2h`

`=(1/3xx22/7xx(7)^2xx24)cm^3`

= (154 x 8)cm^{3}

= 1232 cm^{3}

Therefore, capacity of the conical vessel

`= (1232/1000)litres" "("1 litre "=1000cm^3)`

= 1.232 litres

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Solution for question: Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm concept: Volume of a Right Circular Cone. For the course CBSE