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Question

Dome of the enemy's fort is in shape of right cone which has slant height 13 m and height of 12 m as observed by the hero through the telescope.Hero comes to know that the dome is filled with gold. If the cost of gold is (30/π) lakhs per cubic meter. Find the total value of gold in the dome of the enemy's fort .(Take π= 227)


  1. 40 crores

  2. 20 crores

  3. 30 crores

  4. 50 crores


Solution

The correct option is C

30 crores


From the relation l2 =h2 +r2 

 r = l2h2      

 r = 169144

 r = 5m

 Volume of the dome of the fort=13πr2h=100π

 Total cost of the gold in the enemy’s fort =100π×30π lakhs per cubic meter  =  30 crores units 

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