A water tank is formed with the combination of cylinder and hemisphere. The total height of the tank is 20m and the base area is 154m². If the tank is filled with water at the rate of 45 paisa per liter, what is the total cost to fill the water? Find it.. [ans: Rs.1224300].. plz solve step by step..
Answers
Given : A water tank is formed with the combination of cylinder and hemisphere. The total height of the tank is 20 m and base area is 154 m²
the tank is filled with water at the rate of 45 paisa per litre
To Find : total cost to fill the water?
Solution:
base area is 154 m²
=> πr² = 154
=> (22/7)r² = 154
=> r² = 7²
=> r = 7
radius = 7 m
Total Height = 20 m
Height of cylinder = 20 - 7 = 13 m
Volume of cylinder = πr²h
= 154 * 13
= 2,002 m³
Volume of hemisphere = (2/3)πr³
= (2/3)(22/7)7³
= 718.67 m³
Total Volume = 2,002 + 718.67
= 2,720.67 m³
1 m³ = 1000 litre
Water = 2,720.67 * 1000 litre
rate of 45 paisa per litre
Cost = 2,720.67 * 1000 * 45/100
=> Cost = 12,24,300.15 Rs
approx 12,24,300 Rs
total cost to fill the water Rs 12,24,300
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