Q.

Find the volume in terms of π   of a conical vessel with radius 7 cm and slant height 25 cm.

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a

333πcm3

b

395πcm3

c

392πcm3 

d

390πcm3

answer is D.

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Detailed Solution

Given,
  r=7 cm l=25 cm  .
Then using the slant height formula to find the height,
  l 2 = r 2 + h 2 (25) 2 = (7) 2 + h 2 625=49+ h 2 62549= h 2 576= h 2 576 =h 24=h   The height of the conical vessel is 24 cm.
The volume will be,
1 3 π r 2 h   1 3 ×π× (7) 2 ×24   392πc m 3  
Therefore, the correct option is 4.
 
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Find the volume in terms of π   of a conical vessel with radius 7 cm and slant height 25 cm.