Task 632
Task 632: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. What is the ratio of the volume of cone $A$ to the volume of cone $B$? Express your answer as a common fraction. asy size(260); draw(ellipse((0,0),14.8,6),S); label("Cone $A$", (0,-6), S)…
The task
What is the ratio of the volume of cone $A$ to the volume of cone $B$? Express your answer as a common fraction. [asy] size(260); draw(ellipse((0,0),14.8,6),S); label("Cone $A$", (0,-6), S); draw((0,28.3)--(0,0),dashed); label("$28.3$",(0,14),SW); draw((-14.8,0)--(0,28.3)--(14.8,0)); draw("$14.8$",(-14.8,0)--(0,0),N,dashed); draw(ellipse((50,0),28.3,6),S); label("Cone $B$", (50,-6), S); draw((21.7,0)--(50,14.8)--(78.3,0)); draw("$14.8$",(50,14.8)--(50,0),W,dashed); draw("$28.3$", (21.7,0)--(50,0),N,dashed); [/asy]