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Solution for Find the capacity in litres of a conical vessel with radius 7 cm, slant height 25 cm - CBSE Class 9 - Mathematics

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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)cm3

= 1232 cm3

Therefore, capacity of the conical vessel

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

= 1.232 litres

  Is there an error in this question or solution?

APPEARS IN

 NCERT Mathematics Textbook for Class 9 (with solutions)
Chapter 13: Surface Area and Volumes
Q: 2.1 | Page no. 233
 R.D. Sharma Mathematics for Class 9 by R D Sharma (2018-19 Session) (with solutions)
Chapter 18: Surface Areas and Volume of a Cuboid and Cube
Q: 2.1
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
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