Final answer:
The volume of water in the cone is approximately 38,853.13 cm³, while the volume of oil is approximately 27,087.96 cm³.
Step-by-step explanation:
Volume of Water
To find the volume of water, we need to calculate the volume of the cone up to the height of 29 cm. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we get V = (1/3)π(20cm)²(29cm). Calculating this, the volume of water is approximately 38,853.13 cm³.
Volume of Oil
To find the volume of oil, we need to calculate the remaining volume of the cone from 29 cm to 37 cm. Since the total height of the cone is 63 cm, the height of the space filled with oil is 63 cm - 37 cm = 26 cm. Using the same formula as before, V = (1/3)π(20cm)²(26cm). Calculating this, the volume of oil is approximately 27,087.96 cm³.