Shelby measured the volume of a cylinder and determined it to be 54.5cm3. The teacher told her that she was 4.25% too high in her determination of the volume. What is the actual volume of the cylinder ?

56.8cm³

Explanation:

Given parameters:

Measured volume = 54.5cm³

Percentage error  = 4.25%

Unknown:

Actual volume of the cylinder = ?

Solution:

The percentage error shows the amount of error introduced into a measurement.

We need to find out this amount of error from the data given.

   Error = Percentage error x measured volume

                       Error = x 54.5  = ±2.32cm³

Since the error introduced = 2.32cm³

  Actual volume of cylinder = measured volume ± Error

  Since the percentage error quoted as higher 4.25%;

 Actual volume  = 54.5cm³ + 2.32cm³ = 56.8cm³

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answer: semi-infinite solid initially at a uniform temperature of 400 ◦c is cooled at its surface by convection. the cooling fluid at a constant temperature of 200 ◦c has a convective coefficient (ha) of 250 w/m2.k. the physical properties of the solid: k = 20 w/m.k and α = 4 * 10-5  m2/s. using δx = 0.04 m and δt = 10 s. write the finite difference equations describing the transient heat transfer of the first five δx and the temperature profile after 30 s.