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Q.

The capacity in litres of a conical vessel with radius 7 cm and slant height 25 cm is

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a

1232cm3

b

1132cm3 

c

1432cm3

d

1234cm3

answer is C.

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Detailed Solution

Given,
Radius (r)= 7cm.
Slant height (l)= 25 cm.
We know, volume of cone = 1 3 π r 2 l 2 − r 2  .
Substitute the values,
⇒ 1 3 × 22 7 (7) 2 25 2 − 7 2    ⇒ 1 3 × 22 7 ×49 (625−49)    ⇒ 1 3 × 22 7 ×49 576    ⇒ 1 3 × 22 7 ×49(24)    ⇒22×7×8     ⇒1232c m 3  
Thus, the volume of the cone is 1232cm3.
Therefore, the correct option is 3.
 
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The capacity in litres of a conical vessel with radius 7 cm and slant height 25 cm is