Question

If the length of the radius and the height of a right circular cylinder are both tripled to form a larger cylinder, what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? (Note: The two cylinders are said to be "similar.")

Answer 1

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1

Step By Step Explanation:

Volume of the smaller cylinder(V1)=π(r^2)h

Volume of the larger cylinder(V2)=π(r^2)h

=π(3r)^2*3h

=π*9(r^2)*3h

=27π(r^2)h

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1