The temperature of a steel rod with a diameter of 50 mm and a length of 150 mm is increased by 90 K. The increase in volume is 58 912,5 mm³. Calculate: a) The percentage increase in volume.
To calculate the percentage increase in volume, we can use the formula:
Percentage increase = (Increase in volume / Original volume) * 100
Given:
Original volume = π * (d/2)^2 * L
Original volume = π * (50/2)^2 * 150
Original volume = π * 25^2 * 150
Original volume = π * 625 * 150
Original volume = 93750π mm³
Increase in volume = 58912.5 mm³
Percentage increase = (58912.5 / 93750π) * 100
Percentage increase = (0.6277) * 100
Percentage increase ≈ 62.77%
Therefore, the percentage increase in volume is approximately 62.77%.