Which is the correct unit for the volume in the cylinder problem?

Which is the correct unit for the volume in the cylinder problem?

• A. cm^2
• B. m^3
• C. m^2
• D. cm^3

Answer: (D)

Volume measures how much space something occupies, so it uses cubic units from multiplying three lengths. For a cylinder, V = πr^2h uses the radius and height, both lengths. If those measurements are in centimeters, the volume comes out in cubic centimeters, cm^3. The unit cm^2 is for area (length times width), not volume, and m^2 is also an area unit. If the measurements were in meters, the volume would be in cubic meters, m^3.

Volume measures how much space something occupies, so it uses cubic units from multiplying three lengths. For a cylinder, V = πr^2h uses the radius and height, both lengths. If those measurements are in centimeters, the volume comes out in cubic centimeters, cm^3. The unit cm^2 is for area (length times width), not volume, and m^2 is also an area unit. If the measurements were in meters, the volume would be in cubic meters, m^3.