Question

A vernier caliper has positive zero error of 0.2 mm. While finding the diameter of a brass rod the MSR is 6 mm and the VCD is 5. Similarly, the MSR and VCD while finding the length of the rod are 43 and 6. If the least count of vernier calipers is 0.01 cm, the volume of the cylinder is ____ ${mm}^3.$

• A. 1353.4
• B. 4232.5
• C. 7381.6
• D. 4326.8

Answer 1

The correct option is A 1353.4

Positive error $=0.2mm$

L.C. $=0.01cm=0.1mm$

Diameter $d=MSR+n\times L.C.-error$

$⟹d=6+5\times 0.1-0.2=6.3mm$

Length $l=MSR+n\times L.C.-error$

$⟹l=43+6\times 0.1-0.2=43.4mm$

Volume $V=\pi (\frac{d}{2}{)}^{2}l$

$⟹V=\pi \times (\frac{6.3}{2}{)}^2\times 43.4=1353.4m{m}^3$