Answer:
the volume of the cone is V=0.283ft³
Step-by-step explanation:
From the question, we know that we are dealing with variation.
Then the variation can be interpreted as
V=kAh
Where K= constant of proportionality
Volume V= 12.5ft³
Height of cone h=212 ft.
Area of base of cone A= 15ft²
Then if we substitute into the expresion above, we have
12 .5= K × 15×212
K= 12.5/(15×212)
K=0.00393
Then when the base (area) is 12 ft² and the height is 6 ft
V=V=kAh
Substitute the new values we have
V= 0.00393× 12×6
V=0.283ft
Therefore, the volume of the cone is V=0.283ft³
