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Q.


A right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm.
Find the volume of the solid so obtained.

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a

310.285 cm 3  

b

312.285 cm 3  

c

314.285 cm 3  

d

316.285 cm 3  
   

answer is C.

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Detailed Solution

Given that [2]a right triangle ABC with sides 5 cm, 12 cm and 13 cm is revolved about the side 12 cm.
Question Image Figure 1 represents a right-angled triangle, named ABC.
In figure 2, the right-angled triangle revolves around the side AB and a cone is formed with the parameters mentioned above.
For the volume of cone,  we substitute the values into the expression of volume of cone.[3]
volume= 1 3 π r 2 h ⇒volume= 1 3 × 22 7 × 5 2 ×12 ⇒volume=314.285 cm 3  
The solid obtained is cone and volume of cone is 314.285 cm 3  .
Therefore the answer is option (3).
 
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