A cylinder with height, h, and radius, r, has a volume of 1200m cubic units.
What could be the dimensions of this cylinder?
• h = 10 units, r = 12 units
• h = 12 units, r = 10 units
• h = 20 units, r = 60 units
• h = 60 units, r = 20 units
To find the volume of a cylinder, we use the formula:
Volume = π * r^2 * h
Given that the volume is 1200 cubic units, we can set up the equation:
1200 = π * r^2 * h
Now let's plug in the values and see which option satisfies the equation:
1. For h = 10 units and r = 12 units:
1200 = π * (12)^2 * 10
1200 = 1440π
This is not correct.
2. For h = 12 units and r = 10 units:
1200 = π * (10)^2 * 12
1200 = 1200π
This is correct.
3. For h = 20 units and r = 60 units:
1200 = π * (60)^2 * 20
1200 = 72000π
This is not correct.
4. For h = 60 units and r = 20 units:
1200 = π * (20)^2 * 60
1200 = 24000π
This is not correct.
The only option that satisfies the equation and has a volume of 1200 cubic units is:
h = 12 units and r = 10 units.