Question

1. Answer the following:
A milk tank is in the shape of cylinder with hemisphere oi same
di attached to both ends of it as shown in ligure. If the total
height of the tank is 6m and the radius is im. Calculate the
maximum quantity of milk filled in the lank in litres. And also
calculate the total surface area of the tank​

Answer 1

Answer:

The maximum quantity of the milk fill in the tank in litres is 16761 L.

Step-by-step explanation:

Required formulas:

Volume of hemisphere = πr³

Volume of cylinder = πr²h

The total height of the milk tank = 6 m

The radius, r = 1 m

It is given that the milk tank is in the shape of a cylinder with a hemisphere of the same radius attached to both its ends, so,  

The height of the cylinder, h will be = 6 – 1 – 1 = 4 m

Therefore,  

The volume of the tank is given by,

= [2 * {volume of the hemisphere}] + [volume of the cylinder]

= [2 * πr³ ] + [πr²h]  

= [2 * * 1³ ] + [ * 1² * 4]

= 4.19 + 12.571

= 16.761 m³

Since 1 m³ = 1000 L

Thus,  

The maximum quantity of the milk that can be filled in the tank is,

= 16.761 * 1000

= 16761 L

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