Calculate the volume of a sphere of radius `(3.0pm0.1)` cm, if the error quoted is the standard deviation in the measurement. [Hint: `V=(4pi)/(3)r^(3),((deltaV)/(V))^(2)=3^(2)xx((deltar)/(r))^(2)`]

Calculate the volume of a sphere of radius `(3.0pm0.1)` cm, if the err

1.	Calculate the volume of a sphere of radius `(3.0pm0.1)` cm, if the error quoted is the standard deviation in the measurement. [Hint: `V=(4pi)/(3)r^(3),((deltaV)/(V))^(2)=3^(2)xx((deltar)/(r))^(2)`]
Answer» Correct Answer - `(113pm11)cm^(3)`

The mass of a body `=(100pm2%)ms^(-2)` kg and the volume of the body `=(10pm3%)m^(3)` What is the (i) percentage error in density, (ii) absolute error in denstiy?
A body is moving at speed of `0.3m//s`. To measure its speed with an accuracy of about `1%` using a sampling distance 3 mm, find the least count that the measuring clock must have.
The modulus of rigidity of a wire is given by the formula `W_(g)=(npir^(4)theta)/(2l)`. Which of these quantities should be measured very accurately and why?
Calculate the volume of a sphere of radius `(3.0pm0.1)` cm, if the error quoted is the standard deviation in the measurement. [Hint: `V=(4pi)/(3)r^(3),((deltaV)/(V))^(2)=3^(2)xx((deltar)/(r))^(2)`]
In a simple pendulum `l=(100.0pm0.5)` cm and `t=(2.00pm0.01)` sec. What is the percentage error in g?
A physical quantity P is related to four observables a, b, c and d as `P=a^(3)b^(2)//sqrtcd`. The percentage errors in the measurements of a, b, c and d are `1%, 3% 4%` and `2%` respectively. What is the percentage error in the quantity P? If the value of P calculated using this formula turns out to be `3.763`, to what value should you round off the result?