Question

The length and the radius of a cylinder measured with a slide callipers are found to be 4.54 cm and 1.75 em respectively. Calculate the volume of the cylinder.

Answer 1

Given that, for the cylinder

length = l = 4.54 cm

radius, r = 1.75 cm

Volume = $\pi r^{2}l$

= $\left(\pi \right)\times \left(4.54\right)\times (1.75{)}^2$

Since, the minimum number of significant digits on a particular terms is 3, the result should have 3 significant digits and others should be rounded off.

$\therefore$ Volume, V = $\pi {}^{2}l$
= $\left(3.14\right)\times \left(1.75\right)\times \left(1.75\right)\times \left(4.54\right)$

= 43.6577 $c{m}^3$

Since, it is to be rounded off to 3 significant digits,

V = 43.7 $c{m}^3$