A person bought a water tank of circular base having the radius 1.05 m and height 3.5 m for the use of own house from the shop. If the upper part of the tank is hemi-spherical, how many liters of water will be contained in the tank? Find it.
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Answered by
22
The water capacity of the tank is 9630 litres.
Given data :
Tank's radius = 1.05 m
Tank's height = 3.5 m
Now,the height of the upper part's hemisphere will be same as the base part's radius.
So,the height of the remaining cylindrical part will be = (3.5-1.05) = 2.45 m
So,the volume of cylindrical part = π × (1.05)² × 2.45 = 22/7 × 1.05 × 1.05 × 2.45 = 8.48 m³
So, the volume of hemispherical part = 1/3 × π × (1.05)² = 1/3 × 22/7 × 1.05 × 1.05 = 1.15 m³
Total volume = (8.48+1.15) = 9.63 m³
Water capacity =
1 m³ = 1000 litres
9.63 m³ = 9.63×1000 = 9630 litres (answer)
Answered by
17
Answer:
10914.75 litre
Step-by-step explanation:
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