A water tank is formed with the combination of cylinder and hemisphere.the total height of the tank is 24m and base area is 616m^2 if the tank filled with water at the rate of 65 paisa per liter .waht Will be total coat for water
Answers
Given : A water tank is formed with the combination of cylinder and hemisphere. The total height of the tank is 24 m and base area is 616 m²
the tank is filled with water at the rate of 65 paisa per litre
To Find : total cost to fill the water?
Solution:
base area is 616 m²
=> πr² = 616
=> (22/7)r² = 616
=> r² = 14²
=> r = 14
radius = 14 m
Total Height = 24 m
Height of cylinder = 24 - 14 = 10 m
Volume of cylinder = πr²h
= 616 * 10
= 6,160 m³
Volume of hemisphere = (2/3)πr³
= (2/3)(22/7)14³
= 5,749.33 m³
Total Volume = 6,160+ 5,749.33
= 11,909.33 m³
1 m³ = 1000 litre
Water = 11,909.33 * 1000 litre
rate of 65 paisa per litre
Cost = 11,909.33 * 1000 * 65/100
=> Cost =77,41,066.67 Rs
total cost to fill the water Rs 77,41,066.67
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