Volume Of Cube Cuboid And Cylinder

Step 1: Formula for volume of a cube
The volume of a cube is given by: where is the side length.
Step 2: Finding the new volume
If the side length becomes 10 times, then the new volume: Thus, the volume increases 1000 times.

Step 1: Formula for volume of a cylinder
The volume of a cylinder is given by: Step 2: Substituting given ratios
Let the radii be and , and the heights be and .
Volume of first cylinder: Volume of second cylinder: Step 3: Ratio of volumes
Thus, the correct answer is 20:27.