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)
30 crores
From the relation l2 =h2 +r2
⇒ r = √l2−h2
⇒ r = √169−144
⇒ 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