# Ex.11.4 Q5 Mensuration Solution - NCERT Maths Class 8

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## Question

Find the height of the cylinder whose volume is \(1.54{{\rm{m}}^3}\) and diameter of the base is \(140\rm\, cm\,?\)

Video Solution

Mensuration

Ex 11.4 | Question 5

## Text Solution

**What is Known?**

Volume of the cylinder and diameter of the base of the cylinder is given.

**What is unknown?**

Height of the cylinder.

**Steps:**

If the height of the cylinder \(= h\)

Radius of the base

\[\begin{align}(r) = \frac{{140}}{2}\,{\rm{cm}} = 70\,{\rm{cm}}=0.7 \rm\,m\end{align}\]

Volume of the cylinder \( = \pi {r^2}h\)

Thus, height of the cylinder is \(1\rm\,m.\)