The length of a cylinder is measured with a meter rod having least count $$0.1$$ cm. Its diameter is measured with Vernier callipers having lease count $$0.01$$ cm. Given that length is $$5.0$$ cm and radius is $$2.0$$ cm. The percentage error in the calculated value of the volume will be

Question

Infinity Learn · Accepted Answer

Volume of cylinder V $$=$$ π$$r2lPercentage$$ error in volume△VV×$$100$$ $$=$$ $$2$$△rr×$$100+$$△ll×$$100=$$ (2$$×$$0.012.0$$×$$100+0.15.0$$×$$100)=$$ $$(1+2)% $$=$$ $$3$$%

The length of a cylinder is measured with a meter rod having least count 0.1 cm. Its diameter is measured with Vernier callipers having lease count 0.01 cm. Given that length is 5.0 cm and radius is 2.0 cm. The percentage error in the calculated value of the volume will be

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