milk tank is in the shape of cylinder with hemisphere of same radii attached to both ends of it as shown in tigure if the total height of the tank is 6m and the radius is 1m. Calculate the maximum quantity of milk filled in the tank in litres. And also
calculate the total surface area of the tank.
plzz answer this 5 Mark's plzzz
Answers
Step-by-step explanation:
detailed answer is given in the images
The maximum milk storing capacity of the tank is 17800 litres.
The total surface area of the tank is 40.84 m².
• Given data :
Radius of the cylinder = Radius of the hemisphere = 1 metre
Total height of the tank = 6 metres
• Now,from the basic concept of geometry,the height of the hemisphere will be equal to the radius of the hemisphere which is 1 metre.
• So,the height of cylinder
= Total height - Hemisphere's height
= 6-1
= 5 metres
• Now,the volume of the hemisphere
= ⅔ × π × (1)³
= 2π/3 m³
• Now,the volume of the cylinder
= π×(1)²×5
= 5π m³
• Total volume of the tank
= 2π/3 + 5π
= 17π/3
= 17 × π × 1/3
= 17×22/7×1/3
= 17.8 m³ (approx.)
• So,the total milk storing capacity of the tank is
= 17800 litres (answer)
[1 m³=1000 litres]
• The curved surface area of the hemisphere
= 2×π×(1)²
= 44/7
= 6.28 m²
• The curved surface area of the cylinder
= 2×π×1×5
= 220/7
= 31.42 m²
• The base area of the tank
= π×(1)²
= 22/7
= 3.14 m²
So,the total surface area of the tank
= 6.28+31.42+3.14
= 40.84 m² (answer)