Question

Find the height of the cylinder whose volume is 1.54 m and diameter of the base is
140 cm?​

Answer 1

Given:

• Volume of the cylinder = 1.54 m
• Diameter of the cylinder = 140 cm

To Find:

The height of the cylinder.

Solution:

As per the given information,

Volume of the cylinder = $1.54 \: cm^{2}$ and Diameter of the cylinder = 140 cm

Finding radius,

∴ Radius = $\frac{d}{2}= \frac{140}{2}}$

$\implies 70 \: cm$

Now, finding the volume of the cylinder,

Volume of a cylinder = $\pi r^{2} \: h$

$:\implies 1.54 = \frac{22}{7} \times 0.7 \times h$

Value of h,

$H = \frac{(1.54 \times 7)}{(22 \times 0.7 \times 0.7)}$

Height $:\implies \boxed{1 \: m}$

Hence, the height of the cylinder is 1 m.