Select the solid whose cross sections are dilations of some two-dimensional shape using a point directly above the shape as a center and scale factors ranging from 0 to 1.

Cone

Step-by-step explanation:

Options:

a) Cone      b)  Cube     c)  Cylinder    d)  Triangular prism

From the given options (a) to (d), option (a) is true.

This is so, because.

The volume (V) of a cone  is:

This is as a result of dilating the cylinder by 1/3 whose volume is:

In other words:

i.e. the cross-section of the cylinder (V2) being dilated by 1/3 (which is between 0 and 1) gives the cone (V1)

c

step-by-step explanation:

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32