Math, asked by llakshmin98, 11 months ago

milk tank is the shape of a cylinder with a hemisphere of same radius are attached to both ends of it as soon as a visa if the total height of the tank is 6 metre and the radius is 1 metre calculate the maximum quantity of the milk fill in the tank in litres​

Answers

Answered by bhagyashreechowdhury
50

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

Step-by-step explanation:

Required formulas:

  • Volume of hemisphere = \frac{2}{3}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 * \frac{2}{3}πr³ ] + [πr²h]  

= [2 * \frac{2}{3} * \frac{22}{7} * 1³ ] + [\frac{22}{7} * 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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Also View:

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Answered by bhumireddygeetha
64

Answer:16.761 cubiccm

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Step-by-step explanation:

Total height. =6 m

Radius 1. M

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