Volume (cone) = (1/3)(b x h)
b=base
h=height
1) we calculate the total volume of the 6 cones:
Total volume of the 6 cones.=6(1/3)(b x h=2(b x h)
base: πr²=π(2.8 in)²=7.84 in²
Total volume=2(7.84π in² 7 in)=109.76π in³
2) we calculate the Volume of the cylindrical container.
Volume (cylinder)=base height
base=πr²=π(9 in)²=81π in²
Volume=(81π in² * h)=81πh in²
Therefore:
Volume of the 6 cones= volume of the cylinder
109.76π in³=81πh in²
h=(109.76π in³) / (81π in²)=1.3550 in≈1.36 in
Answer: The height is 1.36 in.
