Question

the length of a uniform rod is 100 cm and radius is 1 cm. if length is measured with metre rod having least count 1mm and radius is measured with Vernier callipers having least count 0.1mm, the percentage error in calculated volume of cylinder is (1)2.1% (2)3% (3)2.01% (4)3.2%

Answer 1

Answer:

Explanation:

hope this answer helps you thank you have a good day

Answer 2

Answer:

Concept:

The volume of a cylinder

Explanation:

Given:

Length = 100 cm

radius = 1 cm

Find:

The percentage error in the calculated volume of a cylinder

Solution:

The volume of cylinder V

$V=\pi r^{2} L$

$\begin{aligned} \Rightarrow \frac{\Delta V}{V} \times 100 &=\frac{2 \Delta r}{r} \times \frac{100}{Q}+\frac{\Delta l}{l} \times 100 \\ &=2\left(\frac{0.01}{2.0}\right) \times 100+\frac{0.1}{5.0} \times 100 \\ &=(1+2) \frac{}{4} . \end{aligned}$

$=2\left(\frac{0.01}{2.0}\right)_{3} \times 100+\frac{0.1}{5.0} \times 100 =(1+2)$

= 3

The option is (2) i.e., 3%

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