Question

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

Answer 1

Length of the cylinder, l = 4.54 cm
Radius of the cylinder, r = 1.75 cm
Volume of the cylinder, V =  `pi r^2l=(pi)xx ( 4.54 ) xx ( 1.75 )^2`

The minimum number of significant digits in a particular term is three. Therefore, the result should have three significant digits, while the other digits should be rounded off.
∴ Volume, V = `pi r^2l`
= (3.14) × (1.75) × (1.75) × (4.54)
= 43.6577 cm³
Since the volume is to be rounded off to 3 significant digits, we have:
V = 43.7 cm³