Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

If 3.96 cubic dm of lead is to be drawn in to a cylindrical wire of diameter 0.6 cm, then the length of the wire (in metres), is:

Options:

130 m

125 m

140 m

120 m

Correct Answer:

140 m

Explanation:

Diameter of cylindrical wire = .6cm 

We know that,

Volume of cylinder = πR2H

We also know that,

1 dm = 10 cm 

1 dm3 = 1000 cm3

So, 3.96 dm3 = 3960 cm3

According to the formula,

3960 = \(\frac{22}{7}\)× (\(\frac{0.6}{2}\))2 × l 

= l = 14000 cm 

= 1m = 100cm 

= 14000 cm = 140 m