Concept:
Pyrometric cones are essential ceramic tools used to measure "heat work" (the combined effect of temperature and time) inside a kiln.
Step 1:
Pyrometric cones are slender, pyramid-shaped tools designed to melt and bend at very specific temperatures. Potters place them inside the kiln and look through a spyhole to visually gauge when the firing is complete. (Note: "fixed" is a typographical error in the source text for "fired", but the core concept of the statement is accurate). Thus, Assertion A is correct.
Step 2:
Cones are not made of plastic, polymers, or artificial "synthetic" materials. To accurately mimic the behavior of the pottery inside the kiln, cones must be made of the exact same raw ceramic materials as the glazes and clay—specifically, precise combinations of feldspar, clay, frits, and silica.
Step 3:
Because they are composed of natural earth minerals engineered into specific recipes, claiming they are made of "synthetic material" is false in the context of ceramic science. Thus, Reason R is incorrect.
Step 4:
With a true Assertion and a false Reason, Option 3 is the only logical choice.
\[
\boxed{\text{(3) A is correct but R is not correct.}}
\]