The two cones below have the same radius, height, and
volume.
Are the two cones congruent? Explain and include
details to support your clain

I don't want to write the whole thing for you since that would be plagiarism for you to take, but be sure to include these key points:

One cone is oblique.

The cones have different slant heights.

The lengths of all corresponding edges are not equal.

Congruent cones must have congruent corresponding measures, including slant height.

Hope this helps!

sites:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.