Final answer:
The height of the cylinder is 10.02 cm.
Step-by-step explanation:
To find the height of the cylinder, we can rearrange the formula for the volume of a cylinder: V = πr²h. Rearranging, we get h = V / (πr²). This statistic indicates how much the values in the dataset vary from the mean, with a smaller standard deviation suggesting that the data points are closer to the mean and a larger standard deviation indicating that the data points are more dispersed. Plug in the given values: h = 1540 cm³ / (3.142 × (7 cm)²) = 1540 cm³ / 153.958 cm² = 10.02 cm.