Ex.11.4 Q6 Mensuration Solution - NCERT Maths Class 8

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Question

A milk tank is in the form of cylinder whose radius is \(1.5 \rm\,m\) and length is \(7\rm\,m.\) Find the quantity of milk in liters that can be stored in the tank?

Text Solution

What is Known?

Shaped of the milk tank is cylinder and its radius and length is known.

What is unknown?

Quantity milk in liter that can be stored in the tank.

Steps:

Radius of cylinder \(= 1.5\rm\,m\)

Length of cylinder \((h) = 7\rm\,m\)

\(\begin{align} \text{Volume of the cylinder }&= \pi {r^2}h\\&= \frac{{22}}{7} \times {(1.5)^2} \times 7\,{{\rm{m}}^3}\\ &= 49.5\,\,{{\rm{m}}^3}\end{align}\)

\(1\) cubic meter \(= 1000\) liters

So, \(49.5\) cubic meter \(= 49.5 \rm{x} 1000 = 44500\) liters

Therefore \(,49500\) liters of milk can be stored in the tank.

  
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