Final answer:
To calculate the volume of a right circular cylinder with a radius of 2.40 cm and a height of 1.38 cm in cubic meters, first convert measurements to meters, then apply the formula V = πr²h, yielding the result V = 0.000025 m³.
Step-by-step explanation:
The student is asking how to calculate the volume of a right circular cylinder. The formula for finding the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height of the cylinder. To find the volume in cubic meters (m³), we need to first convert the dimensions from centimeters to meters.
Converting the radius and height to meters: 2.40 cm = 0.024 m and 1.38 cm = 0.0138 m.
Then we substitute these values into the volume formula: V = π(0.024 m)²(0.0138 m).
Solving for V, we get: V = π * (0.000576 m²) * 0.0138 m = 0.0000249505 m³.
To maintain an appropriate number of significant figures, we round this to three decimal places, giving us a cylinder volume of V = 0.000025 m³.